656242704 has 180 divisors, whose sum is σ = 2102762116. Its totient is φ = 189886464.

The previous prime is 656242703. The next prime is 656242723. The reversal of 656242704 is 407242656.

656242704 is a `hidden beast` number, since 6 + 5 + 624 + 27 + 0 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 23619600 + 632623104 = 4860^2 + 25152^2 .

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

It is not an unprimeable number, because it can be changed into a prime (656242703) 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 35 ways as a sum of consecutive naturals, for example, 540402 + ... + 541614.

Almost surely, 2^656242704 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 656242704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051381058).

656242704 is an abundant number, since it is smaller than the sum of its proper divisors (1446519412).

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

656242704 is a wasteful number, since it uses less digits than its factorization.

656242704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 656242704 is about 25617.2345111645. The cubic root of 656242704 is about 869.0034407538.

The spelling of 656242704 in words is "six hundred fifty-six million, two hundred forty-two thousand, seven hundred four".