83535920 has 80 divisors (see below), whose sum is σ = 213736320. Its totient is φ = 30170112.

The previous prime is 83535889. The next prime is 83535923. The reversal of 83535920 is 2953538.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (83535923) 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, 48026 + ... + 49734.

It is an arithmetic number, because the mean of its divisors is an integer number (2671704).

Almost surely, 2^83535920 is an apocalyptic number.

83535920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83535920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106868160).

83535920 is an abundant number, since it is smaller than the sum of its proper divisors (130200400).

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

83535920 is a wasteful number, since it uses less digits than its factorization.

83535920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 83535920 is about 9139.7986848727. The cubic root of 83535920 is about 437.1438974403.

The spelling of 83535920 in words is "eighty-three million, five hundred thirty-five thousand, nine hundred twenty".