82591344 has 120 divisors (see below), whose sum is σ = 263233152. Its totient is φ = 23928960.

The previous prime is 82591297. The next prime is 82591349. The reversal of 82591344 is 44319528.

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

It is a junction number, because it is equal to n+sod(n) for n = 82591299 and 82591308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82591349) 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, 35299 + ... + 37565.

Almost surely, 2^82591344 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 82591344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131616576).

82591344 is an abundant number, since it is smaller than the sum of its proper divisors (180641808).

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

82591344 is a wasteful number, since it uses less digits than its factorization.

82591344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315 (or 2306 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 82591344 is about 9087.9779929311. The cubic root of 82591344 is about 435.4899908637.

The spelling of 82591344 in words is "eighty-two million, five hundred ninety-one thousand, three hundred forty-four".