83289920 has 168 divisors, whose sum is σ = 241547904. Its totient is φ = 26790912.

The previous prime is 83289907. The next prime is 83289971. The reversal of 83289920 is 2998238.

It is a super-3 number, since 3×83289920³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 808589 + ... + 808691.

Almost surely, 2^83289920 is an apocalyptic number.

83289920 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 83289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120773952).

83289920 is an abundant number, since it is smaller than the sum of its proper divisors (158257984).

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

83289920 is a wasteful number, since it uses less digits than its factorization.

83289920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 83289920 is about 9126.3311357851. The cubic root of 83289920 is about 436.7143691129.

The spelling of 83289920 in words is "eighty-three million, two hundred eighty-nine thousand, nine hundred twenty".