83121768 has 64 divisors (see below), whose sum is σ = 231768000. Its totient is φ = 27602496.

The previous prime is 83121749. The next prime is 83121781. The reversal of 83121768 is 86712138.

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

It is an unprimeable number.

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, 74398 + ... + 75506.

It is an arithmetic number, because the mean of its divisors is an integer number (3621375).

Almost surely, 2^83121768 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 83121768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115884000).

83121768 is an abundant number, since it is smaller than the sum of its proper divisors (148646232).

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

83121768 is a wasteful number, since it uses less digits than its factorization.

83121768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1461 counting only the distinct ones).

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

The square root of 83121768 is about 9117.1140170561. The cubic root of 83121768 is about 436.4202804308.

The spelling of 83121768 in words is "eighty-three million, one hundred twenty-one thousand, seven hundred sixty-eight".