83504880 has 60 divisors (see below), whose sum is σ = 280439640. Its totient is φ = 22267776.

The previous prime is 83504857. The next prime is 83504887. The reversal of 83504880 is 8840538.

It is a tau number, because it is divible by the number of its divisors (60).

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 (83504887) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57270 + ... + 58709.

It is an arithmetic number, because the mean of its divisors is an integer number (4673994).

Almost surely, 2^83504880 is an apocalyptic number.

83504880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83504880 is an abundant number, since it is smaller than the sum of its proper divisors (196934760).

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

83504880 is a wasteful number, since it uses less digits than its factorization.

83504880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115998 (or 115989 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 83504880 is about 9138.1004590670. The cubic root of 83504880 is about 437.0897465730.

The spelling of 83504880 in words is "eighty-three million, five hundred four thousand, eight hundred eighty".