66182560 has 48 divisors (see below), whose sum is σ = 158942952. Its totient is φ = 26035200.

The previous prime is 66182549. The next prime is 66182563. The reversal of 66182560 is 6528166.

It can be written as a sum of positive squares in 4 ways, for example, as 32216976 + 33965584 = 5676^2 + 5828^2 .

It is not an unprimeable number, because it can be changed into a prime (66182563) 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, 6370 + ... + 13150.

Almost surely, 2^66182560 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 66182560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79471476).

66182560 is an abundant number, since it is smaller than the sum of its proper divisors (92760392).

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

66182560 is a wasteful number, since it uses less digits than its factorization.

66182560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6857 (or 6849 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 66182560 is about 8135.2664369398. The cubic root of 66182560 is about 404.4962695288.

The spelling of 66182560 in words is "sixty-six million, one hundred eighty-two thousand, five hundred sixty".