83915760 has 80 divisors (see below), whose sum is σ = 268554240. Its totient is φ = 21653760.

The previous prime is 83915743. The next prime is 83915831. The reversal of 83915760 is 6751938.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1801 + ... + 13079.

It is an arithmetic number, because the mean of its divisors is an integer number (3356928).

Almost surely, 2^83915760 is an apocalyptic number.

83915760 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 83915760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134277120).

83915760 is an abundant number, since it is smaller than the sum of its proper divisors (184638480).

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

83915760 is a wasteful number, since it uses less digits than its factorization.

83915760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11326 (or 11320 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 83915760 is about 9160.5545683654. The cubic root of 83915760 is about 437.8054639533.

The spelling of 83915760 in words is "eighty-three million, nine hundred fifteen thousand, seven hundred sixty".