57066016 has 48 divisors (see below), whose sum is σ = 128931264. Its totient is φ = 24355584.

The previous prime is 57066011. The next prime is 57066029. The reversal of 57066016 is 61066075.

It is a super-2 number, since 2×57066016² = 6513060364224512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57066011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83211 + ... + 83893.

It is an arithmetic number, because the mean of its divisors is an integer number (2686068).

Almost surely, 2^57066016 is an apocalyptic number.

57066016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57066016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64465632).

57066016 is an abundant number, since it is smaller than the sum of its proper divisors (71865248).

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

57066016 is a wasteful number, since it uses less digits than its factorization.

57066016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 57066016 is about 7554.2051865170. The cubic root of 57066016 is about 384.9986304556.

The spelling of 57066016 in words is "fifty-seven million, sixty-six thousand, sixteen".