83989520 has 40 divisors (see below), whose sum is σ = 206765784. Its totient is φ = 31619072.

The previous prime is 83989511. The next prime is 83989523. The reversal of 83989520 is 2598938.

It can be written as a sum of positive squares in 4 ways, for example, as 5914624 + 78074896 = 2432^2 + 8836^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (83989523) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 29519 + ... + 32238.

Almost surely, 2^83989520 is an apocalyptic number.

83989520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83989520 is an abundant number, since it is smaller than the sum of its proper divisors (122776264).

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

83989520 is a wasteful number, since it uses less digits than its factorization.

83989520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61787 (or 61781 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 44.

The square root of 83989520 is about 9164.5796412056. The cubic root of 83989520 is about 437.9336999930.

The spelling of 83989520 in words is "eighty-three million, nine hundred eighty-nine thousand, five hundred twenty".