83289088 has 44 divisors (see below), whose sum is σ = 167854000. Its totient is φ = 41306112.

The previous prime is 83289083. The next prime is 83289091. The reversal of 83289088 is 88098238.

It is a super-3 number, since 3×83289088³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (83289083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 166663 + ... + 167161.

Almost surely, 2^83289088 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 83289088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83927000).

83289088 is an abundant number, since it is smaller than the sum of its proper divisors (84564912).

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

83289088 is a wasteful number, since it uses less digits than its factorization.

83289088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 46.

The square root of 83289088 is about 9126.2855532796. The cubic root of 83289088 is about 436.7129149651.

The spelling of 83289088 in words is "eighty-three million, two hundred eighty-nine thousand, eighty-eight".