82510296 has 64 divisors (see below), whose sum is σ = 231137280. Its totient is φ = 24324480.

The previous prime is 82510291. The next prime is 82510297. The reversal of 82510296 is 69201528.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82510291) 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, 5545 + ... + 13991.

It is an arithmetic number, because the mean of its divisors is an integer number (3611520).

Almost surely, 2^82510296 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 82510296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115568640).

82510296 is an abundant number, since it is smaller than the sum of its proper divisors (148626984).

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

82510296 is a wasteful number, since it uses less digits than its factorization.

82510296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8504 (or 8500 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 82510296 is about 9083.5178207564. The cubic root of 82510296 is about 435.3474935078.

The spelling of 82510296 in words is "eighty-two million, five hundred ten thousand, two hundred ninety-six".