83418768 has 80 divisors (see below), whose sum is σ = 247206400. Its totient is φ = 26904960.

The previous prime is 83418719. The next prime is 83418793. The reversal of 83418768 is 86781438.

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, 10278 + ... + 16506.

It is an arithmetic number, because the mean of its divisors is an integer number (3090080).

Almost surely, 2^83418768 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 83418768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123603200).

83418768 is an abundant number, since it is smaller than the sum of its proper divisors (163787632).

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

83418768 is a wasteful number, since it uses less digits than its factorization.

83418768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6277 (or 6265 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 83418768 is about 9133.3875424182. The cubic root of 83418768 is about 436.9394494981.

The spelling of 83418768 in words is "eighty-three million, four hundred eighteen thousand, seven hundred sixty-eight".