82865664 has 180 divisors, whose sum is σ = 278959824. Its totient is φ = 23611392.

The previous prime is 82865647. The next prime is 82865693. The reversal of 82865664 is 46656828.

82865664 is a `hidden beast` number, since 8 + 2 + 86 + 566 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 225609 + ... + 225975.

Almost surely, 2^82865664 is an apocalyptic number.

82865664 is a gapful number since it is divisible by the number (84) 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 82865664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139479912).

82865664 is an abundant number, since it is smaller than the sum of its proper divisors (196094160).

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

82865664 is a wasteful number, since it uses less digits than its factorization.

82865664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 379 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 82865664 is about 9103.0579477448. The cubic root of 82865664 is about 435.9716054791.

The spelling of 82865664 in words is "eighty-two million, eight hundred sixty-five thousand, six hundred sixty-four".