82594440 has 96 divisors (see below), whose sum is σ = 269656920. Its totient is φ = 21924864.

The previous prime is 82594439. The next prime is 82594453. The reversal of 82594440 is 4449528.

It can be written as a sum of positive squares in 4 ways, for example, as 63776196 + 18818244 = 7986^2 + 4338^2 .

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 = 82594395 and 82594404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112314 + ... + 113046.

Almost surely, 2^82594440 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 82594440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134828460).

82594440 is an abundant number, since it is smaller than the sum of its proper divisors (187062480).

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

82594440 is a wasteful number, since it uses less digits than its factorization.

82594440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 82594440 is about 9088.1483262544. The cubic root of 82594440 is about 435.4954323547.

The spelling of 82594440 in words is "eighty-two million, five hundred ninety-four thousand, four hundred forty".