57293600 has 144 divisors (see below), whose sum is σ = 172363968. Its totient is φ = 18109440.

The previous prime is 57293597. The next prime is 57293603. The reversal of 57293600 is 639275.

It is an interprime number because it is at equal distance from previous prime (57293597) and next prime (57293603).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57293603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72407 + ... + 73193.

It is an arithmetic number, because the mean of its divisors is an integer number (1196972).

Almost surely, 2^57293600 is an apocalyptic number.

57293600 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 57293600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86181984).

57293600 is an abundant number, since it is smaller than the sum of its proper divisors (115070368).

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

57293600 is a wasteful number, since it uses less digits than its factorization.

57293600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 57293600 is about 7569.2535959631. The cubic root of 57293600 is about 385.5097537350.

The spelling of 57293600 in words is "fifty-seven million, two hundred ninety-three thousand, six hundred".