83289960 has 216 divisors, whose sum is σ = 301252770. Its totient is φ = 19948032.

The previous prime is 83289907. The next prime is 83289971. The reversal of 83289960 is 6998238.

It can be written as a sum of positive squares in 9 ways, for example, as 11819844 + 71470116 = 3438^2 + 8454^2 .

It is a Smith number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2251062 + ... + 2251098.

Almost surely, 2^83289960 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 83289960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150626385).

83289960 is an abundant number, since it is smaller than the sum of its proper divisors (217962810).

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

83289960 is a wasteful number, since it uses less digits than its factorization.

83289960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 83289960 is about 9126.3333272459. Note that the first 4 decimals coincide. The cubic root of 83289960 is about 436.7144390236.

The spelling of 83289960 in words is "eighty-three million, two hundred eighty-nine thousand, nine hundred sixty".