57836064 has 144 divisors (see below), whose sum is σ = 180182016. Its totient is φ = 16135680.

The previous prime is 57836047. The next prime is 57836071. The reversal of 57836064 is 46063875.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150817 + ... + 151199.

It is an arithmetic number, because the mean of its divisors is an integer number (1251264).

Almost surely, 2^57836064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57836064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90091008).

57836064 is an abundant number, since it is smaller than the sum of its proper divisors (122345952).

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

57836064 is a wasteful number, since it uses less digits than its factorization.

57836064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 57836064 is about 7605.0025641021. The cubic root of 57836064 is about 386.7226210477.

Subtracting from 57836064 its sum of digits (39), we obtain a square (57836025 = 7605²).

The spelling of 57836064 in words is "fifty-seven million, eight hundred thirty-six thousand, sixty-four".