57004416 has 96 divisors (see below), whose sum is σ = 187496400. Its totient is φ = 16284672.

The previous prime is 57004403. The next prime is 57004421. The reversal of 57004416 is 61440075.

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

It is a self number, because there is not a number n which added to its sum of digits gives 57004416.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 4530 + ... + 11598.

Almost surely, 2^57004416 is an apocalyptic number.

57004416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57004416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93748200).

57004416 is an abundant number, since it is smaller than the sum of its proper divisors (130491984).

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

57004416 is a wasteful number, since it uses less digits than its factorization.

57004416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7096 (or 7081 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 57004416 is about 7550.1268863510. The cubic root of 57004416 is about 384.8600514564.

The spelling of 57004416 in words is "fifty-seven million, four thousand, four hundred sixteen".