82440240 has 160 divisors (see below), whose sum is σ = 273196800. Its totient is φ = 20505600.

The previous prime is 82440227. The next prime is 82440247. The reversal of 82440240 is 4204428.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 82440240.

It is not an unprimeable number, because it can be changed into a prime (82440247) 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, 460471 + ... + 460649.

It is an arithmetic number, because the mean of its divisors is an integer number (1707480).

Almost surely, 2^82440240 is an apocalyptic number.

82440240 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 82440240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136598400).

82440240 is an abundant number, since it is smaller than the sum of its proper divisors (190756560).

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

82440240 is a wasteful number, since it uses less digits than its factorization.

82440240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 82440240 is about 9079.6607866153. The cubic root of 82440240 is about 435.2242469100.

Adding to 82440240 its reverse (4204428), we get a palindrome (86644668).

The spelling of 82440240 in words is "eighty-two million, four hundred forty thousand, two hundred forty".