57640800 has 288 divisors, whose sum is σ = 221985792. Its totient is φ = 12718080.

The previous prime is 57640787. The next prime is 57640831. The reversal of 57640800 is 804675.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 789564 + ... + 789636.

It is an arithmetic number, because the mean of its divisors is an integer number (770784).

Almost surely, 2^57640800 is an apocalyptic number.

57640800 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 57640800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110992896).

57640800 is an abundant number, since it is smaller than the sum of its proper divisors (164344992).

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

57640800 is a wasteful number, since it uses less digits than its factorization.

57640800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 57640800 is about 7592.1538445951. The cubic root of 57640800 is about 386.2869174294.

The spelling of 57640800 in words is "fifty-seven million, six hundred forty thousand, eight hundred".