82382580 has 144 divisors (see below), whose sum is σ = 288148224. Its totient is φ = 18662400.

The previous prime is 82382579. The next prime is 82382623. The reversal of 82382580 is 8528328.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190044 + ... + 190476.

Almost surely, 2^82382580 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 82382580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144074112).

82382580 is an abundant number, since it is smaller than the sum of its proper divisors (205765644).

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

82382580 is a wasteful number, since it uses less digits than its factorization.

82382580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 82382580 is about 9076.4850024665. The cubic root of 82382580 is about 435.1227556844.

The spelling of 82382580 in words is "eighty-two million, three hundred eighty-two thousand, five hundred eighty".