57082240 has 64 divisors (see below), whose sum is σ = 138312000. Its totient is φ = 22523904.

The previous prime is 57082229. The next prime is 57082241. The reversal of 57082240 is 4228075.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 57082199 and 57082208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57082241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49996 + ... + 51124.

It is an arithmetic number, because the mean of its divisors is an integer number (2161125).

Almost surely, 2^57082240 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 57082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69156000).

57082240 is an abundant number, since it is smaller than the sum of its proper divisors (81229760).

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

57082240 is a wasteful number, since it uses less digits than its factorization.

57082240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 57082240 is about 7555.2789491851. The cubic root of 57082240 is about 385.0351123314.

The spelling of 57082240 in words is "fifty-seven million, eighty-two thousand, two hundred forty".