82551864 has 64 divisors (see below), whose sum is σ = 226087200. Its totient is φ = 25001984.

The previous prime is 82551841. The next prime is 82551923. The reversal of 82551864 is 46815528.

82551864 is nontrivially palindromic in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8344 + ... + 15320.

Almost surely, 2^82551864 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 82551864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113043600).

82551864 is an abundant number, since it is smaller than the sum of its proper divisors (143535336).

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

82551864 is a wasteful number, since it uses less digits than its factorization.

82551864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7032 (or 7028 counting only the distinct ones).

The product of its digits is 76800, while the sum is 39.

The square root of 82551864 is about 9085.8056329640. The cubic root of 82551864 is about 435.4205893814.

The spelling of 82551864 in words is "eighty-two million, five hundred fifty-one thousand, eight hundred sixty-four".