647626560 has 224 divisors, whose sum is σ = 2488631040. Its totient is φ = 139296768.

The previous prime is 647626559. The next prime is 647626591. The reversal of 647626560 is 65626746.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×647626560² = 838840322434867200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111406 + ... + 117074.

It is an arithmetic number, because the mean of its divisors is an integer number (11109960).

Almost surely, 2^647626560 is an apocalyptic number.

647626560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 647626560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244315520).

647626560 is an abundant number, since it is smaller than the sum of its proper divisors (1841004480).

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

647626560 is a wasteful number, since it uses less digits than its factorization.

647626560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5713 (or 5703 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 647626560 is about 25448.5080112764. The cubic root of 647626560 is about 865.1834776240.

The spelling of 647626560 in words is "six hundred forty-seven million, six hundred twenty-six thousand, five hundred sixty".