57814100 has 72 divisors (see below), whose sum is σ = 131241600. Its totient is φ = 22086400.

The previous prime is 57814087. The next prime is 57814103. The reversal of 57814100 is 141875.

It is a self number, because there is not a number n which added to its sum of digits gives 57814100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57814103) 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, 241781 + ... + 242019.

It is an arithmetic number, because the mean of its divisors is an integer number (1822800).

Almost surely, 2^57814100 is an apocalyptic number.

57814100 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 57814100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65620800).

57814100 is an abundant number, since it is smaller than the sum of its proper divisors (73427500).

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

57814100 is a wasteful number, since it uses less digits than its factorization.

57814100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 26.

The square root of 57814100 is about 7603.5583774967. The cubic root of 57814100 is about 386.6736605288.

Adding to 57814100 its reverse (141875), we get a palindrome (57955975).

The spelling of 57814100 in words is "fifty-seven million, eight hundred fourteen thousand, one hundred".