656603136 has 216 divisors, whose sum is σ = 2209039560. Its totient is φ = 187342848.

The previous prime is 656603131. The next prime is 656603137. The reversal of 656603136 is 631306656.

It is a happy number.

It is a super-2 number, since 2×656603136² = 862255356410068992, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 656603136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (656603131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 902805 + ... + 903531.

It is an arithmetic number, because the mean of its divisors is an integer number (10227035).

Almost surely, 2^656603136 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 656603136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104519780).

656603136 is an abundant number, since it is smaller than the sum of its proper divisors (1552436424).

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

656603136 is a wasteful number, since it uses less digits than its factorization.

656603136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 656603136 is about 25624.2684968762. The cubic root of 656603136 is about 869.1625075749.

The spelling of 656603136 in words is "six hundred fifty-six million, six hundred three thousand, one hundred thirty-six".