57684042 has 32 divisors (see below), whose sum is σ = 138048960. Its totient is φ = 17748720.

The previous prime is 57684037. The next prime is 57684047. The reversal of 57684042 is 24048675.

57684042 is a `hidden beast` number, since 576 + 8 + 40 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (57684037) and next prime (57684047).

It is a junction number, because it is equal to n+sod(n) for n = 57683988 and 57684006.

It is not an unprimeable number, because it can be changed into a prime (57684047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40384 + ... + 41787.

It is an arithmetic number, because the mean of its divisors is an integer number (4314030).

Almost surely, 2^57684042 is an apocalyptic number.

57684042 is an abundant number, since it is smaller than the sum of its proper divisors (80364918).

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

57684042 is a wasteful number, since it uses less digits than its factorization.

57684042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82195 (or 82189 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 57684042 is about 7595.0011191573. The cubic root of 57684042 is about 386.3834904794.

The spelling of 57684042 in words is "fifty-seven million, six hundred eighty-four thousand, forty-two".