83696928 has 96 divisors (see below), whose sum is σ = 255467520. Its totient is φ = 23496960.

The previous prime is 83696927. The next prime is 83696947. The reversal of 83696928 is 82969638.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (83696927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38593 + ... + 40703.

It is an arithmetic number, because the mean of its divisors is an integer number (2661120).

Almost surely, 2^83696928 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 83696928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127733760).

83696928 is an abundant number, since it is smaller than the sum of its proper divisors (171770592).

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

83696928 is a wasteful number, since it uses less digits than its factorization.

83696928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 2182 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 51.

The square root of 83696928 is about 9148.6025162316. The cubic root of 83696928 is about 437.4245690907.

The spelling of 83696928 in words is "eighty-three million, six hundred ninety-six thousand, nine hundred twenty-eight".