66882304 has 36 divisors (see below), whose sum is σ = 134548344. Its totient is φ = 33179648.

The previous prime is 66882293. The next prime is 66882307. The reversal of 66882304 is 40328866.

It is not an unprimeable number, because it can be changed into a prime (66882307) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34119 + ... + 36025.

It is an arithmetic number, because the mean of its divisors is an integer number (3737454).

Almost surely, 2^66882304 is an apocalyptic number.

66882304 is a gapful number since it is divisible by the number (64) 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 66882304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67274172).

66882304 is an abundant number, since it is smaller than the sum of its proper divisors (67666040).

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

66882304 is a wasteful number, since it uses less digits than its factorization.

66882304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 66882304 is about 8178.1601842957. The cubic root of 66882304 is about 405.9168457913.

The spelling of 66882304 in words is "sixty-six million, eight hundred eighty-two thousand, three hundred four".