83108844 has 144 divisors (see below), whose sum is σ = 270047232. Its totient is φ = 20946816.

The previous prime is 83108833. The next prime is 83108849. The reversal of 83108844 is 44880138.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 83108799 and 83108808.

It is not an unprimeable number, because it can be changed into a prime (83108849) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74797 + ... + 75899.

It is an arithmetic number, because the mean of its divisors is an integer number (1875328).

Almost surely, 2^83108844 is an apocalyptic number.

83108844 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83108844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135023616).

83108844 is an abundant number, since it is smaller than the sum of its proper divisors (186938388).

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

83108844 is a wasteful number, since it uses less digits than its factorization.

83108844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 83108844 is about 9116.4052125824. The cubic root of 83108844 is about 436.3976606519.

The spelling of 83108844 in words is "eighty-three million, one hundred eight thousand, eight hundred forty-four".