57006816 has 48 divisors (see below), whose sum is σ = 151893504. Its totient is φ = 18716544.

The previous prime is 57006773. The next prime is 57006827. The reversal of 57006816 is 61860075.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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, 2001 + ... + 10863.

It is an arithmetic number, because the mean of its divisors is an integer number (3164448).

Almost surely, 2^57006816 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 57006816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75946752).

57006816 is an abundant number, since it is smaller than the sum of its proper divisors (94886688).

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

57006816 is a wasteful number, since it uses less digits than its factorization.

57006816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8943 (or 8935 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 57006816 is about 7550.2858224043. The cubic root of 57006816 is about 384.8654525067.

The spelling of 57006816 in words is "fifty-seven million, six thousand, eight hundred sixteen".