57129240 has 128 divisors (see below), whose sum is σ = 204456960. Its totient is φ = 12486144.

The previous prime is 57129229. The next prime is 57129269. The reversal of 57129240 is 4292175.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 57129198 and 57129207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17842 + ... + 20798.

It is an arithmetic number, because the mean of its divisors is an integer number (1597320).

Almost surely, 2^57129240 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 57129240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102228480).

57129240 is an abundant number, since it is smaller than the sum of its proper divisors (147327720).

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

57129240 is a wasteful number, since it uses less digits than its factorization.

57129240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3001 (or 2997 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 57129240 is about 7558.3887171804. The cubic root of 57129240 is about 385.1407592354.

The spelling of 57129240 in words is "fifty-seven million, one hundred twenty-nine thousand, two hundred forty".