82329696 has 120 divisors (see below), whose sum is σ = 252839664. Its totient is φ = 26231040.

The previous prime is 82329677. The next prime is 82329703. The reversal of 82329696 is 69692328.

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 19 ways as a sum of consecutive naturals, for example, 58926 + ... + 60306.

Almost surely, 2^82329696 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 82329696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126419832).

82329696 is an abundant number, since it is smaller than the sum of its proper divisors (170509968).

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

82329696 is a wasteful number, since it uses less digits than its factorization.

82329696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1409 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 82329696 is about 9073.5712924956. The cubic root of 82329696 is about 435.0296293730.

The spelling of 82329696 in words is "eighty-two million, three hundred twenty-nine thousand, six hundred ninety-six".