82241880 has 128 divisors (see below), whose sum is σ = 296870400. Its totient is φ = 17805312.

The previous prime is 82241857. The next prime is 82241909. The reversal of 82241880 is 8814228.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13384 + ... + 18536.

It is an arithmetic number, because the mean of its divisors is an integer number (2319300).

Almost surely, 2^82241880 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 82241880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148435200).

82241880 is an abundant number, since it is smaller than the sum of its proper divisors (214628520).

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

82241880 is a wasteful number, since it uses less digits than its factorization.

82241880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5193 (or 5189 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 82241880 is about 9068.7308924678. The cubic root of 82241880 is about 434.8749012712.

The spelling of 82241880 in words is "eighty-two million, two hundred forty-one thousand, eight hundred eighty".