57065200 has 60 divisors (see below), whose sum is σ = 138038040. Its totient is φ = 22670080.

The previous prime is 57065149. The next prime is 57065201. The reversal of 57065200 is 256075.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57065201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71202 + ... + 71998.

It is an arithmetic number, because the mean of its divisors is an integer number (2300634).

Almost surely, 2^57065200 is an apocalyptic number.

57065200 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 57065200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69019020).

57065200 is an abundant number, since it is smaller than the sum of its proper divisors (80972840).

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

57065200 is a wasteful number, since it uses less digits than its factorization.

57065200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 57065200 is about 7554.1511766710. The cubic root of 57065200 is about 384.9967953857.

The spelling of 57065200 in words is "fifty-seven million, sixty-five thousand, two hundred".