82010624 has 40 divisors (see below), whose sum is σ = 169179648. Its totient is φ = 39674880.

The previous prime is 82010603. The next prime is 82010627. The reversal of 82010624 is 42601028.

It is a self number, because there is not a number n which added to its sum of digits gives 82010624.

It is not an unprimeable number, because it can be changed into a prime (82010627) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13289 + ... + 18455.

Almost surely, 2^82010624 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 82010624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84589824).

82010624 is an abundant number, since it is smaller than the sum of its proper divisors (87169024).

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

82010624 is an equidigital number, since it uses as much as digits as its factorization.

82010624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5216 (or 5200 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 82010624 is about 9055.9717314046. The cubic root of 82010624 is about 434.4669102753.

The spelling of 82010624 in words is "eighty-two million, ten thousand, six hundred twenty-four".