57064800 has 288 divisors, whose sum is σ = 209986560. Its totient is φ = 13363200.

The previous prime is 57064717. The next prime is 57064807. The reversal of 57064800 is 846075.

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 not an unprimeable number, because it can be changed into a prime (57064807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 967171 + ... + 967229.

It is an arithmetic number, because the mean of its divisors is an integer number (729120).

Almost surely, 2^57064800 is an apocalyptic number.

57064800 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 57064800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104993280).

57064800 is an abundant number, since it is smaller than the sum of its proper divisors (152921760).

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

57064800 is a wasteful number, since it uses less digits than its factorization.

57064800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 113 counting only the distinct ones).

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

The square root of 57064800 is about 7554.1247011153. The cubic root of 57064800 is about 384.9958958353.

The spelling of 57064800 in words is "fifty-seven million, sixty-four thousand, eight hundred".