82482840 has 256 divisors, whose sum is σ = 307929600. Its totient is φ = 19468800.

The previous prime is 82482833. The next prime is 82482859. The reversal of 82482840 is 4828428.

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

It is a junction number, because it is equal to n+sod(n) for n = 82482795 and 82482804.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 629575 + ... + 629705.

It is an arithmetic number, because the mean of its divisors is an integer number (1202850).

Almost surely, 2^82482840 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 82482840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153964800).

82482840 is an abundant number, since it is smaller than the sum of its proper divisors (225446760).

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

82482840 is a wasteful number, since it uses less digits than its factorization.

82482840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 82482840 is about 9082.0063862563. The cubic root of 82482840 is about 435.2991996284.

The spelling of 82482840 in words is "eighty-two million, four hundred eighty-two thousand, eight hundred forty".