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668604384 = 25327418089
BaseRepresentation
bin100111110110100…
…001011111100000
31201121002121210100
4213312201133200
52332130320014
6150202302400
722366020630
oct4766413740
91647077710
10668604384
11313456408
12167ab7a00
13a86990c6
1464b246c0
153da70009
hex27da17e0

668604384 has 144 divisors (see below), whose sum is σ = 2226238560. Its totient is φ = 186347520.

The previous prime is 668604361. The next prime is 668604421. The reversal of 668604384 is 483406866.

668604384 is a `hidden beast` number, since 6 + 6 + 8 + 604 + 38 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78612 + ... + 86700.

It is an arithmetic number, because the mean of its divisors is an integer number (15459990).

Almost surely, 2668604384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668604384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113119280).

668604384 is an abundant number, since it is smaller than the sum of its proper divisors (1557634176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

668604384 is a wasteful number, since it uses less digits than its factorization.

668604384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8153 (or 8142 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 668604384 is about 25857.3854826817. The cubic root of 668604384 is about 874.4260220434.

The spelling of 668604384 in words is "six hundred sixty-eight million, six hundred four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 41 42 48 56 63 72 82 84 96 112 123 126 144 164 168 224 246 252 287 288 328 336 369 492 504 574 656 672 738 861 984 1008 1148 1312 1476 1722 1968 2016 2296 2583 2952 3444 3936 4592 5166 5904 6888 8089 9184 10332 11808 13776 16178 20664 24267 27552 32356 41328 48534 56623 64712 72801 82656 97068 113246 129424 145602 169869 194136 226492 258848 291204 331649 339738 388272 452984 509607 582408 663298 679476 776544 905968 994947 1019214 1164816 1326596 1358952 1811936 1989894 2038428 2321543 2329632 2653192 2717904 2984841 3979788 4076856 4643086 5306384 5435808 5969682 6964629 7959576 8153712 9286172 10612768 11939364 13929258 15919152 16307424 18572344 20893887 23878728 27858516 31838304 37144688 41787774 47757456 55717032 74289376 83575548 95514912 111434064 167151096 222868128 334302192 668604384