83259288 has 96 divisors (see below), whose sum is σ = 259178400. Its totient is φ = 23652864.

The previous prime is 83259269. The next prime is 83259289. The reversal of 83259288 is 88295238.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83259289) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117078 + ... + 117786.

It is an arithmetic number, because the mean of its divisors is an integer number (2699775).

Almost surely, 2^83259288 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 83259288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129589200).

83259288 is an abundant number, since it is smaller than the sum of its proper divisors (175919112).

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

83259288 is a wasteful number, since it uses less digits than its factorization.

83259288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 954 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 83259288 is about 9124.6527605164. The cubic root of 83259288 is about 436.6608249191.

The spelling of 83259288 in words is "eighty-three million, two hundred fifty-nine thousand, two hundred eighty-eight".