82593392 has 80 divisors (see below), whose sum is σ = 192844800. Its totient is φ = 33519360.

The previous prime is 82593389. The next prime is 82593397. The reversal of 82593392 is 29339528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82593397) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191417 + ... + 191847.

It is an arithmetic number, because the mean of its divisors is an integer number (2410560).

Almost surely, 2^82593392 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 82593392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96422400).

82593392 is an abundant number, since it is smaller than the sum of its proper divisors (110251408).

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

82593392 is a wasteful number, since it uses less digits than its factorization.

82593392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 528 counting only the distinct ones).

The product of its digits is 116640, while the sum is 41.

The square root of 82593392 is about 9088.0906685618. The cubic root of 82593392 is about 435.4935904182.

The spelling of 82593392 in words is "eighty-two million, five hundred ninety-three thousand, three hundred ninety-two".