656561152 has 176 divisors, whose sum is σ = 1533317632. Its totient is φ = 278691840.

The previous prime is 656561141. The next prime is 656561153. The reversal of 656561152 is 251165656.

It is a Harshad number since it is a multiple of its sum of digits (37).

Its product of digits (54000) is a multiple of the sum of its prime factors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (656561153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15268843 + ... + 15268885.

It is an arithmetic number, because the mean of its divisors is an integer number (8712032).

Almost surely, 2^656561152 is an apocalyptic number.

656561152 is a gapful number since it is divisible by the number (62) 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 656561152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766658816).

656561152 is an abundant number, since it is smaller than the sum of its proper divisors (876756480).

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

656561152 is a wasteful number, since it uses less digits than its factorization.

656561152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 126 counting only the distinct ones).

The product of its digits is 54000, while the sum is 37.

The square root of 656561152 is about 25623.4492603943. The cubic root of 656561152 is about 869.1439820788.

The spelling of 656561152 in words is "six hundred fifty-six million, five hundred sixty-one thousand, one hundred fifty-two".