656626752 has 168 divisors, whose sum is σ = 1943913816. Its totient is φ = 211820544.

The previous prime is 656626739. The next prime is 656626777. The reversal of 656626752 is 257626656.

It can be written as a sum of positive squares in 4 ways, for example, as 121352256 + 535274496 = 11016^2 + 23136^2 .

It is a junction number, because it is equal to n+sod(n) for n = 656626698 and 656626707.

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 23 ways as a sum of consecutive naturals, for example, 4182258 + ... + 4182414.

Almost surely, 2^656626752 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 656626752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971956908).

656626752 is an abundant number, since it is smaller than the sum of its proper divisors (1287287064).

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

656626752 is a wasteful number, since it uses less digits than its factorization.

656626752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 352 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 656626752 is about 25624.7293058873. The cubic root of 656626752 is about 869.1729278194.

The spelling of 656626752 in words is "six hundred fifty-six million, six hundred twenty-six thousand, seven hundred fifty-two".