656537616 has 160 divisors (see below), whose sum is σ = 2166528000. Its totient is φ = 186468480.

The previous prime is 656537593. The next prime is 656537617. The reversal of 656537616 is 616735656.

656537616 is a `hidden beast` number, since 6 + 56 + 537 + 61 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (656537617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 601231 + ... + 602321.

It is an arithmetic number, because the mean of its divisors is an integer number (13540800).

Almost surely, 2^656537616 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 656537616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083264000).

656537616 is an abundant number, since it is smaller than the sum of its proper divisors (1509990384).

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

656537616 is a wasteful number, since it uses less digits than its factorization.

656537616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1302 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 656537616 is about 25622.9899894606. The cubic root of 656537616 is about 869.1335964418.

The spelling of 656537616 in words is "six hundred fifty-six million, five hundred thirty-seven thousand, six hundred sixteen".