82329984 has 192 divisors, whose sum is σ = 264934800. Its totient is φ = 24330240.

The previous prime is 82329979. The next prime is 82329991. The reversal of 82329984 is 48992328.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 925012 + ... + 925100.

Almost surely, 2^82329984 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 82329984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132467400).

82329984 is an abundant number, since it is smaller than the sum of its proper divisors (182604816).

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

82329984 is a wasteful number, since it uses less digits than its factorization.

82329984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 178 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 82329984 is about 9073.5871627488. The cubic root of 82329984 is about 435.0301366358.

The spelling of 82329984 in words is "eighty-two million, three hundred twenty-nine thousand, nine hundred eighty-four".