57024240 has 240 divisors, whose sum is σ = 222048288. Its totient is φ = 11999232.

The previous prime is 57024229. The next prime is 57024251. The reversal of 57024240 is 4242075.

It is an interprime number because it is at equal distance from previous prime (57024229) and next prime (57024251).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 57024240.

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, 152694 + ... + 153066.

Almost surely, 2^57024240 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 57024240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111024144).

57024240 is an abundant number, since it is smaller than the sum of its proper divisors (165024048).

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

57024240 is a wasteful number, since it uses less digits than its factorization.

57024240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 57024240 is about 7551.4395978515. The cubic root of 57024240 is about 384.9046595877.

The spelling of 57024240 in words is "fifty-seven million, twenty-four thousand, two hundred forty".