83520684 has 72 divisors (see below), whose sum is σ = 228861360. Its totient is φ = 25529472.

The previous prime is 83520683. The next prime is 83520691. The reversal of 83520684 is 48602538.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83520683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83274 + ... + 84270.

It is an arithmetic number, because the mean of its divisors is an integer number (3178630).

Almost surely, 2^83520684 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 83520684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114430680).

83520684 is an abundant number, since it is smaller than the sum of its proper divisors (145340676).

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

83520684 is a wasteful number, since it uses less digits than its factorization.

83520684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 83520684 is about 9138.9651492934. The cubic root of 83520684 is about 437.1173191357.

The spelling of 83520684 in words is "eighty-three million, five hundred twenty thousand, six hundred eighty-four".