82558440 has 160 divisors (see below), whose sum is σ = 281746080. Its totient is φ = 21679488.

The previous prime is 82558429. The next prime is 82558451. The reversal of 82558440 is 4485528.

It is an interprime number because it is at equal distance from previous prime (82558429) and next prime (82558451).

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 = 82558395 and 82558404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 268767 + ... + 269073.

It is an arithmetic number, because the mean of its divisors is an integer number (1760913).

Almost surely, 2^82558440 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 82558440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140873040).

82558440 is an abundant number, since it is smaller than the sum of its proper divisors (199187640).

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

82558440 is a wasteful number, since it uses less digits than its factorization.

82558440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 82558440 is about 9086.1675089116. The cubic root of 82558440 is about 435.4321507992.

The spelling of 82558440 in words is "eighty-two million, five hundred fifty-eight thousand, four hundred forty".