57078144 has 48 divisors (see below), whose sum is σ = 164251620. Its totient is φ = 19025664.

The previous prime is 57078139. The next prime is 57078149. The reversal of 57078144 is 44187075.

57078144 is a `hidden beast` number, since 570 + 7 + 81 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (57078139) and next prime (57078149).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 57078099 and 57078108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57078149) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23622 + ... + 25925.

Almost surely, 2^57078144 is an apocalyptic number.

It is an amenable number.

57078144 is an abundant number, since it is smaller than the sum of its proper divisors (107173476).

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

57078144 is a wasteful number, since it uses less digits than its factorization.

57078144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49567 (or 49552 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 57078144 is about 7555.0078755750. The cubic root of 57078144 is about 385.0259025694.

The spelling of 57078144 in words is "fifty-seven million, seventy-eight thousand, one hundred forty-four".