83990560 has 24 divisors (see below), whose sum is σ = 198428076. Its totient is φ = 33596160.

The previous prime is 83990539. The next prime is 83990573. The reversal of 83990560 is 6509938.

It can be written as a sum of positive squares in 2 ways, for example, as 83978896 + 11664 = 9164^2 + 108^2 .

It is a super-2 number, since 2×83990560² = 14108828338227200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 262311 + ... + 262630.

Almost surely, 2^83990560 is an apocalyptic number.

83990560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83990560 is an abundant number, since it is smaller than the sum of its proper divisors (114437516).

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

83990560 is a wasteful number, since it uses less digits than its factorization.

83990560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524956 (or 524948 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 83990560 is about 9164.6363812210. The cubic root of 83990560 is about 437.9355075565.

The spelling of 83990560 in words is "eighty-three million, nine hundred ninety thousand, five hundred sixty".