57625600 has 66 divisors (see below), whose sum is σ = 142905164. Its totient is φ = 23040000.

The previous prime is 57625573. The next prime is 57625609. The reversal of 57625600 is 652675.

It is not an unprimeable number, because it can be changed into a prime (57625609) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 24475 + ... + 26725.

Almost surely, 2^57625600 is an apocalyptic number.

57625600 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 57625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71452582).

57625600 is an abundant number, since it is smaller than the sum of its proper divisors (85279564).

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

57625600 is a wasteful number, since it uses less digits than its factorization.

57625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 31.

The square root of 57625600 is about 7591.1527451369. The cubic root of 57625600 is about 386.2529595539.

It can be divided in two parts, 576 and 25600, that multiplied together give a square (14745600 = 3840²).

The spelling of 57625600 in words is "fifty-seven million, six hundred twenty-five thousand, six hundred".