83216880 has 120 divisors (see below), whose sum is σ = 286387920. Its totient is φ = 21642240.

The previous prime is 83216873. The next prime is 83216891. The reversal of 83216880 is 8861238.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28111 + ... + 30929.

It is an arithmetic number, because the mean of its divisors is an integer number (2386566).

Almost surely, 2^83216880 is an apocalyptic number.

83216880 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 83216880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143193960).

83216880 is an abundant number, since it is smaller than the sum of its proper divisors (203171040).

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

83216880 is a wasteful number, since it uses less digits than its factorization.

83216880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879 (or 2870 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 83216880 is about 9122.3286500761. The cubic root of 83216880 is about 436.5866748047.

The spelling of 83216880 in words is "eighty-three million, two hundred sixteen thousand, eight hundred eighty".