82632704 has 112 divisors (see below), whose sum is σ = 207605376. Its totient is φ = 31948800.

The previous prime is 82632703. The next prime is 82632749. The reversal of 82632704 is 40723628.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82632703) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 630719 + ... + 630849.

Almost surely, 2^82632704 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 82632704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103802688).

82632704 is an abundant number, since it is smaller than the sum of its proper divisors (124972672).

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

82632704 is a wasteful number, since it uses less digits than its factorization.

82632704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 82632704 is about 9090.2532417970. The cubic root of 82632704 is about 435.5626734610.

The spelling of 82632704 in words is "eighty-two million, six hundred thirty-two thousand, seven hundred four".