56664900 has 144 divisors (see below), whose sum is σ = 188321280. Its totient is φ = 14601600.

The previous prime is 56664899. The next prime is 56664917. The reversal of 56664900 is 946665.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83362 + ... + 84038.

Almost surely, 2^56664900 is an apocalyptic number.

56664900 is a gapful number since it is divisible by the number (50) 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 56664900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94160640).

56664900 is an abundant number, since it is smaller than the sum of its proper divisors (131656380).

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

56664900 is a wasteful number, since it uses less digits than its factorization.

56664900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 56664900 is about 7527.6091822039. The cubic root of 56664900 is about 384.0944591842.

The spelling of 56664900 in words is "fifty-six million, six hundred sixty-four thousand, nine hundred".