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668880096 = 25317224109
BaseRepresentation
bin100111110111100…
…100110011100000
31201121121121222220
4213313210303200
52332213130341
6150212231040
722401246513
oct4767446340
91647547886
10668880096
11313624575
1216800b480
13a8764751
1464b96d7a
153dac6a66
hex27de4ce0

668880096 has 72 divisors (see below), whose sum is σ = 1865246040. Its totient is φ = 209836032.

The previous prime is 668880083. The next prime is 668880101. The reversal of 668880096 is 690088866.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15690 + ... + 39798.

It is an arithmetic number, because the mean of its divisors is an integer number (25906195).

Almost surely, 2668880096 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 668880096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932623020).

668880096 is an abundant number, since it is smaller than the sum of its proper divisors (1196365944).

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

668880096 is a wasteful number, since it uses less digits than its factorization.

668880096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24156 (or 24131 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The square root of 668880096 is about 25862.7163306564. The cubic root of 668880096 is about 874.5462010419.

The spelling of 668880096 in words is "six hundred sixty-eight million, eight hundred eighty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 289 408 544 578 816 867 1156 1632 1734 2312 3468 4624 6936 9248 13872 24109 27744 48218 72327 96436 144654 192872 289308 385744 409853 578616 771488 819706 1157232 1229559 1639412 2314464 2459118 3278824 4918236 6557648 6967501 9836472 13115296 13935002 19672944 20902503 27870004 39345888 41805006 55740008 83610012 111480016 167220024 222960032 334440048 668880096