52660800 has 336 divisors, whose sum is σ = 204094080. Its totient is φ = 13178880.

The previous prime is 52660793. The next prime is 52660831. The reversal of 52660800 is 806625.

52660800 is a `hidden beast` number, since 52 + 6 + 608 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 993574 + ... + 993626.

Almost surely, 2^52660800 is an apocalyptic number.

52660800 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 52660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102047040).

52660800 is an abundant number, since it is smaller than the sum of its proper divisors (151433280).

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

52660800 is a wasteful number, since it uses less digits than its factorization.

52660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 52660800 is about 7256.7761437156. The cubic root of 52660800 is about 374.8255188294.

The spelling of 52660800 in words is "fifty-two million, six hundred sixty thousand, eight hundred".