83360 has 24 divisors (see below), whose sum is σ = 197316. Its totient is φ = 33280.

The previous prime is 83357. The next prime is 83383. The reversal of 83360 is 6338.

It can be written as a sum of positive squares in 2 ways, for example, as 80656 + 2704 = 284^2 + 52^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 101 + ... + 420.

2⁸³³⁶⁰ is an apocalyptic number.

83360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83360 is an abundant number, since it is smaller than the sum of its proper divisors (113956).

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 (98658).

83360 is a wasteful number, since it uses less digits than its factorization.

83360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 83360 is about 288.7213189219. The cubic root of 83360 is about 43.6836818357.

Subtracting from 83360 its product of nonzero digits (432), we obtain a palindrome (82928).

Adding to 83360 its reverse (6338), we get a palindrome (89698).

The spelling of 83360 in words is "eighty-three thousand, three hundred sixty".