66882816 has 432 divisors, whose sum is σ = 267845760. Its totient is φ = 15482880.

The previous prime is 66882797. The next prime is 66882821. The reversal of 66882816 is 61828866.

It is a super-2 number, since 2×66882816² = 8946622152179712, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2306290 + ... + 2306318.

Almost surely, 2^66882816 is an apocalyptic number.

66882816 is a gapful number since it is divisible by the number (66) 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 66882816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133922880).

66882816 is an abundant number, since it is smaller than the sum of its proper divisors (200962944).

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

66882816 is a wasteful number, since it uses less digits than its factorization.

66882816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 65 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 66882816 is about 8178.1914871199. The cubic root of 66882816 is about 405.9178815854.

The spelling of 66882816 in words is "sixty-six million, eight hundred eighty-two thousand, eight hundred sixteen".