82259360 has 48 divisors (see below), whose sum is σ = 204573600. Its totient is φ = 31170816.

The previous prime is 82259351. The next prime is 82259363. The reversal of 82259360 is 6395228.

It is a self number, because there is not a number n which added to its sum of digits gives 82259360.

It is not an unprimeable number, because it can be changed into a prime (82259363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10490 + ... + 16569.

It is an arithmetic number, because the mean of its divisors is an integer number (4261950).

Almost surely, 2^82259360 is an apocalyptic number.

82259360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82259360 is an abundant number, since it is smaller than the sum of its proper divisors (122314240).

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

82259360 is a wasteful number, since it uses less digits than its factorization.

82259360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27093 (or 27085 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 82259360 is about 9069.6945924325. The cubic root of 82259360 is about 434.9057090736.

The spelling of 82259360 in words is "eighty-two million, two hundred fifty-nine thousand, three hundred sixty".