82116440 has 128 divisors (see below), whose sum is σ = 226437120. Its totient is φ = 26188800.

The previous prime is 82116421. The next prime is 82116449. The reversal of 82116440 is 4461128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82116449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263885 + ... + 264195.

It is an arithmetic number, because the mean of its divisors is an integer number (1769040).

Almost surely, 2^82116440 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 82116440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113218560).

82116440 is an abundant number, since it is smaller than the sum of its proper divisors (144320680).

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

82116440 is a wasteful number, since it uses less digits than its factorization.

82116440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 82116440 is about 9061.8121807947. The cubic root of 82116440 is about 434.6536901082.

Adding to 82116440 its reverse (4461128), we get a palindrome (86577568).

The spelling of 82116440 in words is "eighty-two million, one hundred sixteen thousand, four hundred forty".