83112768 has 84 divisors (see below), whose sum is σ = 239507268. Its totient is φ = 27555840.

The previous prime is 83112749. The next prime is 83112857. The reversal of 83112768 is 86721138.

It can be written as a sum of positive squares in 2 ways, for example, as 9290304 + 73822464 = 3048^2 + 8592^2 .

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180058 + ... + 180518.

It is an arithmetic number, because the mean of its divisors is an integer number (2851277).

Almost surely, 2^83112768 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 83112768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119753634).

83112768 is an abundant number, since it is smaller than the sum of its proper divisors (156394500).

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

83112768 is a wasteful number, since it uses less digits than its factorization.

83112768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 779 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 83112768 is about 9116.6204264519. The cubic root of 83112768 is about 436.4045287435.

The spelling of 83112768 in words is "eighty-three million, one hundred twelve thousand, seven hundred sixty-eight".