656133120 has 264 divisors, whose sum is σ = 2356670160. Its totient is φ = 168591360.

The previous prime is 656133119. The next prime is 656133133. The reversal of 656133120 is 21331656.

656133120 is a `hidden beast` number, since 656 + 1 + 3 + 3 + 1 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1336075 + ... + 1336565.

Almost surely, 2^656133120 is an apocalyptic number.

656133120 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 656133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178335080).

656133120 is an abundant number, since it is smaller than the sum of its proper divisors (1700537040).

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

656133120 is a wasteful number, since it uses less digits than its factorization.

656133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 656133120 is about 25615.0955493045. The cubic root of 656133120 is about 868.9550673021.

Adding to 656133120 its reverse (21331656), we get a palindrome (677464776).

The spelling of 656133120 in words is "six hundred fifty-six million, one hundred thirty-three thousand, one hundred twenty".