83339520 has 144 divisors (see below), whose sum is σ = 290509632. Its totient is φ = 20193280.

The previous prime is 83339497. The next prime is 83339551. The reversal of 83339520 is 2593338.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41254 + ... + 43226.

It is an arithmetic number, because the mean of its divisors is an integer number (2017428).

Almost surely, 2^83339520 is an apocalyptic number.

83339520 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 83339520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145254816).

83339520 is an abundant number, since it is smaller than the sum of its proper divisors (207170112).

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

83339520 is a wasteful number, since it uses less digits than its factorization.

83339520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2008 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 83339520 is about 9129.0481431527. The cubic root of 83339520 is about 436.8010412030.

The spelling of 83339520 in words is "eighty-three million, three hundred thirty-nine thousand, five hundred twenty".