57805600 has 72 divisors (see below), whose sum is σ = 148584240. Its totient is φ = 21899520.

The previous prime is 57805597. The next prime is 57805651. The reversal of 57805600 is 650875.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13299 + ... + 17101.

It is an arithmetic number, because the mean of its divisors is an integer number (2063670).

Almost surely, 2^57805600 is an apocalyptic number.

57805600 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 57805600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74292120).

57805600 is an abundant number, since it is smaller than the sum of its proper divisors (90778640).

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

57805600 is a wasteful number, since it uses less digits than its factorization.

57805600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3842 (or 3829 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 57805600 is about 7602.9994081283. Note that the first 3 decimals coincide. The cubic root of 57805600 is about 386.6547096316.

The spelling of 57805600 in words is "fifty-seven million, eight hundred five thousand, six hundred".