656877960 has 192 divisors, whose sum is σ = 2276754480. Its totient is φ = 163676160.

The previous prime is 656877959. The next prime is 656877961. The reversal of 656877960 is 69778656.

It is a happy number.

656877960 is a `hidden beast` number, since 6 + 568 + 7 + 79 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (656877959) and next prime (656877961).

It can be written as a sum of positive squares in 8 ways, for example, as 197290116 + 459587844 = 14046^2 + 21438^2 .

It is a junction number, because it is equal to n+sod(n) for n = 656877897 and 656877906.

It is not an unprimeable number, because it can be changed into a prime (656877961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1107424 + ... + 1108016.

Almost surely, 2^656877960 is an apocalyptic number.

656877960 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 656877960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138377240).

656877960 is an abundant number, since it is smaller than the sum of its proper divisors (1619876520).

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

656877960 is a wasteful number, since it uses less digits than its factorization.

656877960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 656877960 is about 25629.6305084564. The cubic root of 656877960 is about 869.2837545328.

The spelling of 656877960 in words is "six hundred fifty-six million, eight hundred seventy-seven thousand, nine hundred sixty".