57879144 has 32 divisors (see below), whose sum is σ = 160776000. Its totient is φ = 19292976.

The previous prime is 57879119. The next prime is 57879193. The reversal of 57879144 is 44197875.

It is a happy number.

57879144 is a `hidden beast` number, since 578 + 79 + 1 + 4 + 4 = 666.

57879144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 57879144.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 133764 + ... + 134195.

It is an arithmetic number, because the mean of its divisors is an integer number (5024250).

Almost surely, 2^57879144 is an apocalyptic number.

57879144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

57879144 is an abundant number, since it is smaller than the sum of its proper divisors (102896856).

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

57879144 is a wasteful number, since it uses less digits than its factorization.

57879144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267974 (or 267964 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 57879144 is about 7607.8343830554. The cubic root of 57879144 is about 386.8186157990.

It can be divided in two parts, 5787 and 9144, that multiplied together give a triangular number (52916328 = T₁₀₂₈₇).

The spelling of 57879144 in words is "fifty-seven million, eight hundred seventy-nine thousand, one hundred forty-four".