57086064 has 60 divisors (see below), whose sum is σ = 182588016. Its totient is φ = 16310016.

The previous prime is 57086053. The next prime is 57086083. The reversal of 57086064 is 46068075.

It is a happy number.

57086064 is a `hidden beast` number, since 570 + 86 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 27309 + ... + 29324.

Almost surely, 2^57086064 is an apocalyptic number.

It is an amenable number.

57086064 is an abundant number, since it is smaller than the sum of its proper divisors (125501952).

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

57086064 is a wasteful number, since it uses less digits than its factorization.

57086064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56654 (or 56645 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 57086064 is about 7555.5320130352. The cubic root of 57086064 is about 385.0437101101.

The spelling of 57086064 in words is "fifty-seven million, eighty-six thousand, sixty-four".