83915920 has 60 divisors (see below), whose sum is σ = 214478460. Its totient is φ = 30511360.

The previous prime is 83915917. The next prime is 83915969. The reversal of 83915920 is 2951938.

It can be written as a sum of positive squares in 2 ways, for example, as 33732864 + 50183056 = 5808^2 + 7084^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 83915920.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5346 + ... + 14014.

It is an arithmetic number, because the mean of its divisors is an integer number (3574641).

Almost surely, 2^83915920 is an apocalyptic number.

83915920 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 83915920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107239230).

83915920 is an abundant number, since it is smaller than the sum of its proper divisors (130562540).

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

83915920 is a wasteful number, since it uses less digits than its factorization.

83915920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8704 (or 8687 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The square root of 83915920 is about 9160.5633014570. The cubic root of 83915920 is about 437.8057422039.

The spelling of 83915920 in words is "eighty-three million, nine hundred fifteen thousand, nine hundred twenty".