83932032 has 64 divisors (see below), whose sum is σ = 230662800. Its totient is φ = 27009024.

The previous prime is 83932027. The next prime is 83932099. The reversal of 83932032 is 23023938.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7368 + ... + 14904.

Almost surely, 2^83932032 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 83932032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115331400).

83932032 is an abundant number, since it is smaller than the sum of its proper divisors (146730768).

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

83932032 is a wasteful number, since it uses less digits than its factorization.

83932032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7583 (or 7571 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 83932032 is about 9161.4426811502. The cubic root of 83932032 is about 437.8337602276.

The spelling of 83932032 in words is "eighty-three million, nine hundred thirty-two thousand, thirty-two".