82243584 has 156 divisors (see below), whose sum is σ = 250448016. Its totient is φ = 25952256.

The previous prime is 82243583. The next prime is 82243591. The reversal of 82243584 is 48534228.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82243583) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 847824 + ... + 847920.

It is an arithmetic number, because the mean of its divisors is an integer number (1605436).

Almost surely, 2^82243584 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 82243584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125224008).

82243584 is an abundant number, since it is smaller than the sum of its proper divisors (168204432).

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

82243584 is a wasteful number, since it uses less digits than its factorization.

82243584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 125 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 82243584 is about 9068.8248411798. The cubic root of 82243584 is about 434.8779046952.

The spelling of 82243584 in words is "eighty-two million, two hundred forty-three thousand, five hundred eighty-four".