83680 has 24 divisors (see below), whose sum is σ = 198072. Its totient is φ = 33408.

The previous prime is 83663. The next prime is 83689. The reversal of 83680 is 8638.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 102 + ... + 421.

It is an arithmetic number, because the mean of its divisors is an integer number (8253).

2⁸³⁶⁸⁰ is an apocalyptic number.

83680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83680 is an abundant number, since it is smaller than the sum of its proper divisors (114392).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99036).

83680 is a wasteful number, since it uses less digits than its factorization.

83680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 83680 is about 289.2749557082. The cubic root of 83680 is about 43.7395076880.

Subtracting from 83680 its product of nonzero digits (1152), we obtain a palindrome (82528).

The spelling of 83680 in words is "eighty-three thousand, six hundred eighty".