82589696 has 72 divisors (see below), whose sum is σ = 192333960. Its totient is φ = 35352576.

The previous prime is 82589687. The next prime is 82589701. The reversal of 82589696 is 69698528.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 99941 + ... + 100763.

It is an arithmetic number, because the mean of its divisors is an integer number (2671305).

Almost surely, 2^82589696 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 82589696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96166980).

82589696 is an abundant number, since it is smaller than the sum of its proper divisors (109744264).

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

82589696 is an equidigital number, since it uses as much as digits as its factorization.

82589696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 832 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 53.

The square root of 82589696 is about 9087.8873232452. The cubic root of 82589696 is about 435.4870943040.

The spelling of 82589696 in words is "eighty-two million, five hundred eighty-nine thousand, six hundred ninety-six".