656881000 has 64 divisors (see below), whose sum is σ = 1546393680. Its totient is φ = 261164800.

The previous prime is 656880997. The next prime is 656881009. The reversal of 656881000 is 188656.

It is a happy number.

656881000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4691556 + 652189444 = 2166^2 + 25538^2 .

It is a super-2 number, since 2×656881000² = 862985296322000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (656881009) 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, 171102 + ... + 174898.

Almost surely, 2^656881000 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 656881000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773196840).

656881000 is an abundant number, since it is smaller than the sum of its proper divisors (889512680).

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

656881000 is a wasteful number, since it uses less digits than its factorization.

656881000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3991 (or 3977 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 656881000 is about 25629.6898147441. The cubic root of 656881000 is about 869.2850955321.

The spelling of 656881000 in words is "six hundred fifty-six million, eight hundred eighty-one thousand".