57514240 has 144 divisors (see below), whose sum is σ = 161884800. Its totient is φ = 19568640.

The previous prime is 57514217. The next prime is 57514253. The reversal of 57514240 is 4241575.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 57514199 and 57514208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438975 + ... + 439105.

It is an arithmetic number, because the mean of its divisors is an integer number (1124200).

Almost surely, 2^57514240 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 57514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80942400).

57514240 is an abundant number, since it is smaller than the sum of its proper divisors (104370560).

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

57514240 is an equidigital number, since it uses as much as digits as its factorization.

57514240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 57514240 is about 7583.8143437191. The cubic root of 57514240 is about 386.0039911173.

The spelling of 57514240 in words is "fifty-seven million, five hundred fourteen thousand, two hundred forty".