647252960 has 96 divisors (see below), whose sum is σ = 1572867072. Its totient is φ = 251596800.

The previous prime is 647252939. The next prime is 647252981. The reversal of 647252960 is 69252746.

It is an interprime number because it is at equal distance from previous prime (647252939) and next prime (647252981).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1076660 + ... + 1077260.

It is an arithmetic number, because the mean of its divisors is an integer number (16384032).

Almost surely, 2^647252960 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 647252960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786433536).

647252960 is an abundant number, since it is smaller than the sum of its proper divisors (925614112).

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

647252960 is a wasteful number, since it uses less digits than its factorization.

647252960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The square root of 647252960 is about 25441.1666399165. The cubic root of 647252960 is about 865.0170778590.

The spelling of 647252960 in words is "six hundred forty-seven million, two hundred fifty-two thousand, nine hundred sixty".