83884080 has 160 divisors (see below), whose sum is σ = 303552000. Its totient is φ = 19154688.

The previous prime is 83884079. The next prime is 83884093. The reversal of 83884080 is 8048838.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81811 + ... + 82829.

It is an arithmetic number, because the mean of its divisors is an integer number (1897200).

Almost surely, 2^83884080 is an apocalyptic number.

83884080 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 83884080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151776000).

83884080 is an abundant number, since it is smaller than the sum of its proper divisors (219667920).

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

83884080 is a wasteful number, since it uses less digits than its factorization.

83884080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 83884080 is about 9158.8252521816. The cubic root of 83884080 is about 437.7503633666.

The spelling of 83884080 in words is "eighty-three million, eight hundred eighty-four thousand, eighty".