83932992 has 168 divisors, whose sum is σ = 282915360. Its totient is φ = 23454720.

The previous prime is 83932969. The next prime is 83932993. The reversal of 83932992 is 29923938.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83932993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81859 + ... + 82877.

It is an arithmetic number, because the mean of its divisors is an integer number (1684020).

Almost surely, 2^83932992 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 83932992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141457680).

83932992 is an abundant number, since it is smaller than the sum of its proper divisors (198982368).

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

83932992 is a wasteful number, since it uses less digits than its factorization.

83932992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1048 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 83932992 is about 9161.4950744952. The cubic root of 83932992 is about 437.8354295101.

The spelling of 83932992 in words is "eighty-three million, nine hundred thirty-two thousand, nine hundred ninety-two".