82915840 has 120 divisors (see below), whose sum is σ = 231611292. Its totient is φ = 28385280.

The previous prime is 82915823. The next prime is 82915841. The reversal of 82915840 is 4851928.

It can be written as a sum of positive squares in 2 ways, for example, as 82301184 + 614656 = 9072^2 + 784^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 82915840.

It is not an unprimeable number, because it can be changed into a prime (82915841) 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, 125110 + ... + 125770.

Almost surely, 2^82915840 is an apocalyptic number.

82915840 is a gapful number since it is divisible by the number (80) 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 82915840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115805646).

82915840 is an abundant number, since it is smaller than the sum of its proper divisors (148695452).

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

82915840 is an equidigital number, since it uses as much as digits as its factorization.

82915840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 82915840 is about 9105.8135276317. The cubic root of 82915840 is about 436.0595828007.

The spelling of 82915840 in words is "eighty-two million, nine hundred fifteen thousand, eight hundred forty".