82632096 has 96 divisors (see below), whose sum is σ = 245246400. Its totient is φ = 27060480.

The previous prime is 82632089. The next prime is 82632113. The reversal of 82632096 is 69023628.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 82632096.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50166 + ... + 51786.

It is an arithmetic number, because the mean of its divisors is an integer number (2554650).

Almost surely, 2^82632096 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 82632096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122623200).

82632096 is an abundant number, since it is smaller than the sum of its proper divisors (162614304).

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

82632096 is a wasteful number, since it uses less digits than its factorization.

82632096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 82632096 is about 9090.2197993228. The cubic root of 82632096 is about 435.5616051885.

The spelling of 82632096 in words is "eighty-two million, six hundred thirty-two thousand, ninety-six".