57814820 has 48 divisors (see below), whose sum is σ = 139200768. Its totient is φ = 19758720.

The previous prime is 57814789. The next prime is 57814829. The reversal of 57814820 is 2841875.

57814820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (57814829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70010 + ... + 70830.

It is an arithmetic number, because the mean of its divisors is an integer number (2900016).

Almost surely, 2^57814820 is an apocalyptic number.

It is an amenable number.

57814820 is an abundant number, since it is smaller than the sum of its proper divisors (81385948).

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

57814820 is a wasteful number, since it uses less digits than its factorization.

57814820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 35.

The square root of 57814820 is about 7603.6057236025. The cubic root of 57814820 is about 386.6752656959.

It can be divided in two parts, 5781 and 4820, that added together give a palindrome (10601).

The spelling of 57814820 in words is "fifty-seven million, eight hundred fourteen thousand, eight hundred twenty".