83906832 has 120 divisors (see below), whose sum is σ = 239368608. Its totient is φ = 25236480.

The previous prime is 83906813. The next prime is 83906833. The reversal of 83906832 is 23860938.

It is not an unprimeable number, because it can be changed into a prime (83906833) 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, 784123 + ... + 784229.

Almost surely, 2^83906832 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 83906832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119684304).

83906832 is an abundant number, since it is smaller than the sum of its proper divisors (155461776).

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

83906832 is a wasteful number, since it uses less digits than its factorization.

83906832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 83906832 is about 9160.0672486614. The cubic root of 83906832 is about 437.7899370098.

The spelling of 83906832 in words is "eighty-three million, nine hundred six thousand, eight hundred thirty-two".