66882624 has 112 divisors (see below), whose sum is σ = 193706496. Its totient is φ = 20275200.

The previous prime is 66882623. The next prime is 66882653. The reversal of 66882624 is 42628866.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66882623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100854 + ... + 101514.

Almost surely, 2^66882624 is an apocalyptic number.

66882624 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 66882624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96853248).

66882624 is an abundant number, since it is smaller than the sum of its proper divisors (126823872).

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

66882624 is a wasteful number, since it uses less digits than its factorization.

66882624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 714 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 66882624 is about 8178.1797485749. The cubic root of 66882624 is about 405.9174931633.

The spelling of 66882624 in words is "sixty-six million, eight hundred eighty-two thousand, six hundred twenty-four".