57349824 has 112 divisors (see below), whose sum is σ = 176150016. Its totient is φ = 16128000.

The previous prime is 57349819. The next prime is 57349841. The reversal of 57349824 is 42894375.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95124 + ... + 95724.

It is an arithmetic number, because the mean of its divisors is an integer number (1572768).

Almost surely, 2^57349824 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 57349824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88075008).

57349824 is an abundant number, since it is smaller than the sum of its proper divisors (118800192).

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

57349824 is a wasteful number, since it uses less digits than its factorization.

57349824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 684 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 57349824 is about 7572.9666577901. The cubic root of 57349824 is about 385.6358167634.

The spelling of 57349824 in words is "fifty-seven million, three hundred forty-nine thousand, eight hundred twenty-four".