57600801 has 10 divisors (see below), whose sum is σ = 86045762. Its totient is φ = 38400480.

The previous prime is 57600791. The next prime is 57600817. The reversal of 57600801 is 10800675.

57600801 is a `hidden beast` number, since 57 + 600 + 8 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41990400 + 15610401 = 6480^2 + 3951^2 .

It is not a de Polignac number, because 57600801 - 2⁵ = 57600769 is a prime.

It is a super-3 number, since 3×57600801³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57600841) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 355480 + ... + 355641.

Almost surely, 2^57600801 is an apocalyptic number.

It is an amenable number.

57600801 is a deficient number, since it is larger than the sum of its proper divisors (28444961).

57600801 is an equidigital number, since it uses as much as digits as its factorization.

57600801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711133 (or 711124 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 57600801 is about 7589.5191547291. The cubic root of 57600801 is about 386.1975440122.

The spelling of 57600801 in words is "fifty-seven million, six hundred thousand, eight hundred one".