656324136 has 192 divisors, whose sum is σ = 2046844800. Its totient is φ = 188407296.

The previous prime is 656324131. The next prime is 656324147. The reversal of 656324136 is 631423656.

656324136 is a `hidden beast` number, since 6 + 5 + 632 + 4 + 13 + 6 = 666.

656324136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×656324136² = 861522742992292992, 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 656324136.

It is not an unprimeable number, because it can be changed into a prime (656324131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 925350 + ... + 926058.

It is an arithmetic number, because the mean of its divisors is an integer number (10660650).

Almost surely, 2^656324136 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 656324136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023422400).

656324136 is an abundant number, since it is smaller than the sum of its proper divisors (1390520664).

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

656324136 is a wasteful number, since it uses less digits than its factorization.

656324136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 793 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 656324136 is about 25618.8238605913. The cubic root of 656324136 is about 869.0393836353.

The spelling of 656324136 in words is "six hundred fifty-six million, three hundred twenty-four thousand, one hundred thirty-six".