82440688 has 60 divisors (see below), whose sum is σ = 177783760. Its totient is φ = 37002240.

The previous prime is 82440661. The next prime is 82440689. The reversal of 82440688 is 88604428.

It is a self number, because there is not a number n which added to its sum of digits gives 82440688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82440689) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187573 + ... + 188011.

Almost surely, 2^82440688 is an apocalyptic number.

82440688 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82440688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88891880).

82440688 is an abundant number, since it is smaller than the sum of its proper divisors (95343072).

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

82440688 is a wasteful number, since it uses less digits than its factorization.

82440688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 82440688 is about 9079.6854571070. The cubic root of 82440688 is about 435.2250352794.

The spelling of 82440688 in words is "eighty-two million, four hundred forty thousand, six hundred eighty-eight".