57690416 has 40 divisors (see below), whose sum is σ = 128637600. Its totient is φ = 24551424.

The previous prime is 57690407. The next prime is 57690431. The reversal of 57690416 is 61409675.

It is a self number, because there is not a number n which added to its sum of digits gives 57690416.

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, 14960 + ... + 18416.

It is an arithmetic number, because the mean of its divisors is an integer number (3215940).

Almost surely, 2^57690416 is an apocalyptic number.

57690416 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 57690416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64318800).

57690416 is an abundant number, since it is smaller than the sum of its proper divisors (70947184).

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

57690416 is a wasteful number, since it uses less digits than its factorization.

57690416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3621 (or 3615 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 57690416 is about 7595.4207256741. The cubic root of 57690416 is about 386.3977215537.

The spelling of 57690416 in words is "fifty-seven million, six hundred ninety thousand, four hundred sixteen".