83401080 has 128 divisors (see below), whose sum is σ = 292723200. Its totient is φ = 18611712.

The previous prime is 83401049. The next prime is 83401141. The reversal of 83401080 is 8010438.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 83401080.

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, 34966 + ... + 37274.

It is an arithmetic number, because the mean of its divisors is an integer number (2286900).

Almost surely, 2^83401080 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 83401080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146361600).

83401080 is an abundant number, since it is smaller than the sum of its proper divisors (209322120).

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

83401080 is a wasteful number, since it uses less digits than its factorization.

83401080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2373 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 83401080 is about 9132.4191756621. The cubic root of 83401080 is about 436.9085646366.

The spelling of 83401080 in words is "eighty-three million, four hundred one thousand, eighty".