656348160 has 352 divisors, whose sum is σ = 2393516160. Its totient is φ = 152174592.

The previous prime is 656348137. The next prime is 656348201. The reversal of 656348160 is 61843656.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3793834 + ... + 3794006.

Almost surely, 2^656348160 is an apocalyptic number.

656348160 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 656348160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196758080).

656348160 is an abundant number, since it is smaller than the sum of its proper divisors (1737168000).

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

656348160 is a wasteful number, since it uses less digits than its factorization.

656348160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 656348160 is about 25619.2927302843. The cubic root of 656348160 is about 869.0499869060.

The spelling of 656348160 in words is "six hundred fifty-six million, three hundred forty-eight thousand, one hundred sixty".