82044040 has 64 divisors (see below), whose sum is σ = 210515760. Its totient is φ = 28508160.

The previous prime is 82044037. The next prime is 82044049. The reversal of 82044040 is 4044028.

It can be written as a sum of positive squares in 8 ways, for example, as 49758916 + 32285124 = 7054^2 + 5682^2 .

It is not an unprimeable number, because it can be changed into a prime (82044049) 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, 4200 + ... + 13480.

Almost surely, 2^82044040 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 82044040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105257880).

82044040 is an abundant number, since it is smaller than the sum of its proper divisors (128471720).

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

82044040 is a wasteful number, since it uses less digits than its factorization.

82044040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9322 (or 9318 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 82044040 is about 9057.8165139287. The cubic root of 82044040 is about 434.5259114720.

Adding to 82044040 its reverse (4044028), we get a palindrome (86088068).

The spelling of 82044040 in words is "eighty-two million, forty-four thousand, forty".