57354240 has 96 divisors (see below), whose sum is σ = 183587040. Its totient is φ = 15286272.

The previous prime is 57354233. The next prime is 57354259. The reversal of 57354240 is 4245375.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 57354198 and 57354207.

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, 29787 + ... + 31653.

It is an arithmetic number, because the mean of its divisors is an integer number (1912365).

Almost surely, 2^57354240 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 57354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91793520).

57354240 is an abundant number, since it is smaller than the sum of its proper divisors (126232800).

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

57354240 is a wasteful number, since it uses less digits than its factorization.

57354240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 57354240 is about 7573.2582155899. The cubic root of 57354240 is about 385.6457146377.

The spelling of 57354240 in words is "fifty-seven million, three hundred fifty-four thousand, two hundred forty".