82505664 has 42 divisors (see below), whose sum is σ = 236489240. Its totient is φ = 27501696.

The previous prime is 82505639. The next prime is 82505681. The reversal of 82505664 is 46650528.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 71044 + ... + 72195.

Almost surely, 2^82505664 is an apocalyptic number.

It is an amenable number.

82505664 is an abundant number, since it is smaller than the sum of its proper divisors (153983576).

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

82505664 is a wasteful number, since it uses less digits than its factorization.

82505664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143257 (or 143244 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 82505664 is about 9083.2628498794. The cubic root of 82505664 is about 435.3393467777.

The spelling of 82505664 in words is "eighty-two million, five hundred five thousand, six hundred sixty-four".