82488024 has 128 divisors (see below), whose sum is σ = 240844800. Its totient is φ = 26127360.

The previous prime is 82488017. The next prime is 82488041. The reversal of 82488024 is 42088428.

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

It is a self number, because there is not a number n which added to its sum of digits gives 82488024.

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, 649449 + ... + 649575.

It is an arithmetic number, because the mean of its divisors is an integer number (1881600).

Almost surely, 2^82488024 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 82488024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120422400).

82488024 is an abundant number, since it is smaller than the sum of its proper divisors (158356776).

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

82488024 is a wasteful number, since it uses less digits than its factorization.

82488024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 260 counting only the distinct ones).

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

The square root of 82488024 is about 9082.2917812631. The cubic root of 82488024 is about 435.3083188738.

The spelling of 82488024 in words is "eighty-two million, four hundred eighty-eight thousand, twenty-four".