57245940 has 72 divisors (see below), whose sum is σ = 180092640. Its totient is φ = 15264288.

The previous prime is 57245893. The next prime is 57245941. The reversal of 57245940 is 4954275.

57245940 is a `hidden beast` number, since 572 + 45 + 9 + 40 = 666.

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 = 57245895 and 57245904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57245941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1030 + ... + 10749.

Almost surely, 2^57245940 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 57245940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90046320).

57245940 is an abundant number, since it is smaller than the sum of its proper divisors (122846700).

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

57245940 is a wasteful number, since it uses less digits than its factorization.

57245940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11803 (or 11789 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 57245940 is about 7566.1046781022. The cubic root of 57245940 is about 385.4028279359.

It can be divided in two parts, 57245 and 940, that added together give a palindrome (58185).

The spelling of 57245940 in words is "fifty-seven million, two hundred forty-five thousand, nine hundred forty".