82892664 has 24 divisors (see below), whose sum is σ = 224501160. Its totient is φ = 27630864.

The previous prime is 82892659. The next prime is 82892671. The reversal of 82892664 is 46629828.

It is a tau number, because it is divible by the number of its divisors (24).

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 5 ways as a sum of consecutive naturals, for example, 575572 + ... + 575715.

It is an arithmetic number, because the mean of its divisors is an integer number (9354215).

Almost surely, 2^82892664 is an apocalyptic number.

It is an amenable number.

82892664 is an abundant number, since it is smaller than the sum of its proper divisors (141608496).

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

82892664 is a wasteful number, since it uses less digits than its factorization.

82892664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151299 (or 1151292 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 82892664 is about 9104.5408450948. The cubic root of 82892664 is about 436.0189510041.

The spelling of 82892664 in words is "eighty-two million, eight hundred ninety-two thousand, six hundred sixty-four".