66880824 has 64 divisors (see below), whose sum is σ = 172444800. Its totient is φ = 21603456.

The previous prime is 66880811. The next prime is 66880841. The reversal of 66880824 is 42808866.

66880824 = T₂₉₅ + T₂₉₆ + ... + T₇₅₂.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236187 + ... + 236469.

It is an arithmetic number, because the mean of its divisors is an integer number (2694450).

Almost surely, 2^66880824 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 66880824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86222400).

66880824 is an abundant number, since it is smaller than the sum of its proper divisors (105563976).

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

66880824 is a wasteful number, since it uses less digits than its factorization.

66880824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 66880824 is about 8178.0696988959. The cubic root of 66880824 is about 405.9138516692.

The spelling of 66880824 in words is "sixty-six million, eight hundred eighty thousand, eight hundred twenty-four".