656676000 has 576 divisors, whose sum is σ = 2621717280. Its totient is φ = 154828800.

The previous prime is 656675993. The next prime is 656676001. The reversal of 656676000 is 676656.

It can be written as a sum of positive squares in 16 ways, for example, as 19820304 + 636855696 = 4452^2 + 25236^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (656676001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17747982 + ... + 17748018.

Almost surely, 2^656676000 is an apocalyptic number.

656676000 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 656676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310858640).

656676000 is an abundant number, since it is smaller than the sum of its proper divisors (1965041280).

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

656676000 is a wasteful number, since it uses less digits than its factorization.

656676000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 656676000 is about 25625.6902346064. The cubic root of 656676000 is about 869.1946570377.

The spelling of 656676000 in words is "six hundred fifty-six million, six hundred seventy-six thousand".