656930560 has 288 divisors, whose sum is σ = 1918187712. Its totient is φ = 212336640.

The previous prime is 656930551. The next prime is 656930569. The reversal of 656930560 is 65039656.

656930560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (656930551) and next prime (656930569).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (656930569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6772432 + ... + 6772528.

It is an arithmetic number, because the mean of its divisors is an integer number (6660374).

Almost surely, 2^656930560 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 656930560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959093856).

656930560 is an abundant number, since it is smaller than the sum of its proper divisors (1261257152).

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

656930560 is a wasteful number, since it uses less digits than its factorization.

656930560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 40.

The square root of 656930560 is about 25630.6566439489. The cubic root of 656930560 is about 869.3069567651.

The spelling of 656930560 in words is "six hundred fifty-six million, nine hundred thirty thousand, five hundred sixty".