57361440 has 48 divisors (see below), whose sum is σ = 180690048. Its totient is φ = 15296256.

The previous prime is 57361357. The next prime is 57361453. The reversal of 57361440 is 4416375.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 57361398 and 57361407.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59272 + ... + 60231.

It is an arithmetic number, because the mean of its divisors is an integer number (3764376).

Almost surely, 2^57361440 is an apocalyptic number.

It is an amenable number.

57361440 is an abundant number, since it is smaller than the sum of its proper divisors (123328608).

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

57361440 is a wasteful number, since it uses less digits than its factorization.

57361440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119521 (or 119513 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 57361440 is about 7573.7335574999. The cubic root of 57361440 is about 385.6618513870.

The spelling of 57361440 in words is "fifty-seven million, three hundred sixty-one thousand, four hundred forty".