82255840 has 48 divisors (see below), whose sum is σ = 199085040. Its totient is φ = 32097280.

The previous prime is 82255819. The next prime is 82255937. The reversal of 82255840 is 4855228.

It is a junction number, because it is equal to n+sod(n) for n = 82255796 and 82255805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 291 + ... + 12829.

It is an arithmetic number, because the mean of its divisors is an integer number (4147605).

Almost surely, 2^82255840 is an apocalyptic number.

82255840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82255840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99542520).

82255840 is an abundant number, since it is smaller than the sum of its proper divisors (116829200).

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

82255840 is a wasteful number, since it uses less digits than its factorization.

82255840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12595 (or 12587 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

The square root of 82255840 is about 9069.5005375158. The cubic root of 82255840 is about 434.8995055651.

The spelling of 82255840 in words is "eighty-two million, two hundred fifty-five thousand, eight hundred forty".