83968144 has 40 divisors (see below), whose sum is σ = 184432640. Its totient is φ = 36713088.

The previous prime is 83968097. The next prime is 83968169. The reversal of 83968144 is 44186938.

It is a self number, because there is not a number n which added to its sum of digits gives 83968144.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6672 + ... + 14575.

It is an arithmetic number, because the mean of its divisors is an integer number (4610816).

Almost surely, 2^83968144 is an apocalyptic number.

It is an amenable number.

83968144 is an abundant number, since it is smaller than the sum of its proper divisors (100464496).

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

83968144 is a wasteful number, since it uses less digits than its factorization.

83968144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21287 (or 21281 counting only the distinct ones).

The product of its digits is 165888, while the sum is 43.

The square root of 83968144 is about 9163.4133378343. The cubic root of 83968144 is about 437.8965443055.

The spelling of 83968144 in words is "eighty-three million, nine hundred sixty-eight thousand, one hundred forty-four".