82027296 has 192 divisors, whose sum is σ = 263894400. Its totient is φ = 24634368.

The previous prime is 82027241. The next prime is 82027301. The reversal of 82027296 is 69272028.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 82027296.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 752490 + ... + 752598.

It is an arithmetic number, because the mean of its divisors is an integer number (1374450).

Almost surely, 2^82027296 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 82027296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131947200).

82027296 is an abundant number, since it is smaller than the sum of its proper divisors (181867104).

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

82027296 is a wasteful number, since it uses less digits than its factorization.

82027296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 82027296 is about 9056.8921822002. The cubic root of 82027296 is about 434.4963493129.

The spelling of 82027296 in words is "eighty-two million, twenty-seven thousand, two hundred ninety-six".