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6644664 = 23321331229
BaseRepresentation
bin11001010110001110111000
3110111120202200
4121112032320
53200112124
6354230200
7110323125
oct31261670
913446680
106644664
113829264
122285360
1314b8570
14c4d74c
158b3bc9
hex6563b8

6644664 has 96 divisors (see below), whose sum is σ = 20092800. Its totient is φ = 1969920.

The previous prime is 6644647. The next prime is 6644681. The reversal of 6644664 is 4664466.

It is a happy number.

6644664 is a `hidden beast` number, since 6 + 644 + 6 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (6644647) and next prime (6644681).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 28902 + ... + 29130.

It is an arithmetic number, because the mean of its divisors is an integer number (209300).

Almost surely, 26644664 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 6644664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10046400).

6644664 is an abundant number, since it is smaller than the sum of its proper divisors (13448136).

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

6644664 is a wasteful number, since it uses less digits than its factorization.

6644664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 278 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 6644664 is about 2577.7245779951. The cubic root of 6644664 is about 187.9999245510. Note that the first 4 decimals are identical.

The spelling of 6644664 in words is "six million, six hundred forty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 31 36 39 52 62 72 78 93 104 117 124 156 186 229 234 248 279 312 372 403 458 468 558 687 744 806 916 936 1116 1209 1374 1612 1832 2061 2232 2418 2748 2977 3224 3627 4122 4836 5496 5954 7099 7254 8244 8931 9672 11908 14198 14508 16488 17862 21297 23816 26793 28396 29016 35724 42594 53586 56792 63891 71448 85188 92287 107172 127782 170376 184574 214344 255564 276861 369148 511128 553722 738296 830583 1107444 1661166 2214888 3322332 6644664