66056320 has 96 divisors (see below), whose sum is σ = 173780460. Its totient is φ = 23992320.

The previous prime is 66056317. The next prime is 66056377. The reversal of 66056320 is 2365066.

It can be written as a sum of positive squares in 2 ways, for example, as 58614336 + 7441984 = 7656^2 + 2728^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77014 + ... + 77866.

Almost surely, 2^66056320 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 66056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86890230).

66056320 is an abundant number, since it is smaller than the sum of its proper divisors (107724140).

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

66056320 is a wasteful number, since it uses less digits than its factorization.

66056320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 66056320 is about 8127.5039218692. The cubic root of 66056320 is about 404.2389202078.

The spelling of 66056320 in words is "sixty-six million, fifty-six thousand, three hundred twenty".