82393584 has 120 divisors (see below), whose sum is σ = 263590272. Its totient is φ = 21715200.

The previous prime is 82393529. The next prime is 82393589. The reversal of 82393584 is 48539328.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82393589) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56059 + ... + 57509.

Almost surely, 2^82393584 is an apocalyptic number.

82393584 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82393584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131795136).

82393584 is an abundant number, since it is smaller than the sum of its proper divisors (181196688).

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

82393584 is a wasteful number, since it uses less digits than its factorization.

82393584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1476 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 82393584 is about 9077.0911640239. The cubic root of 82393584 is about 435.1421282170.

The spelling of 82393584 in words is "eighty-two million, three hundred ninety-three thousand, five hundred eighty-four".