83718768 has 80 divisors (see below), whose sum is σ = 248642816. Its totient is φ = 23777280.

The previous prime is 83718763. The next prime is 83718823. The reversal of 83718768 is 86781738.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83718763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64203 + ... + 65493.

Almost surely, 2^83718768 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 83718768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124321408).

83718768 is an abundant number, since it is smaller than the sum of its proper divisors (164924048).

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

83718768 is a wasteful number, since it uses less digits than its factorization.

83718768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1496 counting only the distinct ones).

The product of its digits is 451584, while the sum is 48.

The square root of 83718768 is about 9149.7960633011. The cubic root of 83718768 is about 437.4626131861.

The spelling of 83718768 in words is "eighty-three million, seven hundred eighteen thousand, seven hundred sixty-eight".