82433568 has 96 divisors (see below), whose sum is σ = 248814720. Its totient is φ = 23408640.

The previous prime is 82433563. The next prime is 82433569. The reversal of 82433568 is 86533428.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (82433563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161698 + ... + 162206.

It is an arithmetic number, because the mean of its divisors is an integer number (2591820).

Almost surely, 2^82433568 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 82433568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124407360).

82433568 is an abundant number, since it is smaller than the sum of its proper divisors (166381152).

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

82433568 is a wasteful number, since it uses less digits than its factorization.

82433568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 762 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 82433568 is about 9079.2933645741. The cubic root of 82433568 is about 435.2125054978.

It can be divided in two parts, 8243 and 3568, that added together give a palindrome (11811).

The spelling of 82433568 in words is "eighty-two million, four hundred thirty-three thousand, five hundred sixty-eight".