57660200 has 96 divisors (see below), whose sum is σ = 146969760. Its totient is φ = 20908800.

The previous prime is 57660199. The next prime is 57660221. The reversal of 57660200 is 206675.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 57660200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174035 + ... + 174365.

It is an arithmetic number, because the mean of its divisors is an integer number (1530935).

Almost surely, 2^57660200 is an apocalyptic number.

57660200 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 57660200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73484880).

57660200 is an abundant number, since it is smaller than the sum of its proper divisors (89309560).

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

57660200 is a wasteful number, since it uses less digits than its factorization.

57660200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 57660200 is about 7593.4313719161. The cubic root of 57660200 is about 386.3302497312.

Adding to 57660200 its reverse (206675), we get a palindrome (57866875).

The spelling of 57660200 in words is "fifty-seven million, six hundred sixty thousand, two hundred".