57916401 has 16 divisors (see below), whose sum is σ = 80732160. Its totient is φ = 36887760.

The previous prime is 57916381. The next prime is 57916403. The reversal of 57916401 is 10461975.

It is not a de Polignac number, because 57916401 - 2¹³ = 57908209 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (57916403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3406 + ... + 11288.

It is an arithmetic number, because the mean of its divisors is an integer number (5045760).

Almost surely, 2^57916401 is an apocalyptic number.

It is an amenable number.

57916401 is a deficient number, since it is larger than the sum of its proper divisors (22815759).

57916401 is a wasteful number, since it uses less digits than its factorization.

57916401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7996.

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 57916401 is about 7610.2825834525. The cubic root of 57916401 is about 386.9015968119.

The spelling of 57916401 in words is "fifty-seven million, nine hundred sixteen thousand, four hundred one".