83108256 has 96 divisors (see below), whose sum is σ = 272014848. Its totient is φ = 21584640.

The previous prime is 83108213. The next prime is 83108281. The reversal of 83108256 is 65280138.

It is a happy number.

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

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1771 + ... + 13013.

It is an arithmetic number, because the mean of its divisors is an integer number (2833488).

Almost surely, 2^83108256 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 83108256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136007424).

83108256 is an abundant number, since it is smaller than the sum of its proper divisors (188906592).

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

83108256 is a wasteful number, since it uses less digits than its factorization.

83108256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11274 (or 11266 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 83108256 is about 9116.3729629716. The cubic root of 83108256 is about 436.3966314697.

It can be divided in two parts, 831082 and 56, that added together give a palindrome (831138).

The spelling of 83108256 in words is "eighty-three million, one hundred eight thousand, two hundred fifty-six".