57640300 has 72 divisors (see below), whose sum is σ = 137491200. Its totient is φ = 20877120.

The previous prime is 57640249. The next prime is 57640307. The reversal of 57640300 is 304675.

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

It is not an unprimeable number, because it can be changed into a prime (57640307) 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, 43041 + ... + 44359.

It is an arithmetic number, because the mean of its divisors is an integer number (1909600).

Almost surely, 2^57640300 is an apocalyptic number.

57640300 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 57640300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68745600).

57640300 is an abundant number, since it is smaller than the sum of its proper divisors (79850900).

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

57640300 is a wasteful number, since it uses less digits than its factorization.

57640300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 57640300 is about 7592.1209157916. The cubic root of 57640300 is about 386.2858004890.

Adding to 57640300 its reverse (304675), we get a palindrome (57944975).

The spelling of 57640300 in words is "fifty-seven million, six hundred forty thousand, three hundred".