57839040 has 336 divisors, whose sum is σ = 240913920. Its totient is φ = 12441600.

The previous prime is 57839039. The next prime is 57839051. The reversal of 57839040 is 4093875.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 57838986 and 57839004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 382965 + ... + 383115.

Almost surely, 2^57839040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57839040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120456960).

57839040 is an abundant number, since it is smaller than the sum of its proper divisors (183074880).

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

57839040 is a wasteful number, since it uses less digits than its factorization.

57839040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 57839040 is about 7605.1982222688. The cubic root of 57839040 is about 386.7292539724.

The spelling of 57839040 in words is "fifty-seven million, eight hundred thirty-nine thousand, forty".