83091960 has 256 divisors, whose sum is σ = 328320000. Its totient is φ = 18289152.

The previous prime is 83091949. The next prime is 83091991. The reversal of 83091960 is 6919038.

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 63 ways as a sum of consecutive naturals, for example, 219051 + ... + 219429.

It is an arithmetic number, because the mean of its divisors is an integer number (1282500).

Almost surely, 2^83091960 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 83091960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164160000).

83091960 is an abundant number, since it is smaller than the sum of its proper divisors (245228040).

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

83091960 is a wasteful number, since it uses less digits than its factorization.

83091960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 83091960 is about 9115.4791426452. The cubic root of 83091960 is about 436.3681064883.

The spelling of 83091960 in words is "eighty-three million, ninety-one thousand, nine hundred sixty".