8008440 has 64 divisors (see below), whose sum is σ = 26213760. Its totient is φ = 1941120.

The previous prime is 8008409. The next prime is 8008453. The reversal of 8008440 is 448008.

It is a super-2 number, since 2×8008440² = 128270222467200, which contains 22 as substring.

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 8008440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1714 + ... + 4353.

It is an arithmetic number, because the mean of its divisors is an integer number (409590).

Almost surely, 2^8008440 is an apocalyptic number.

It is an amenable number.

8008440 is an abundant number, since it is smaller than the sum of its proper divisors (18205320).

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

8008440 is a wasteful number, since it uses less digits than its factorization.

8008440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6092 (or 6088 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 8008440 is about 2829.9187267482. The cubic root of 8008440 is about 200.0703086139.

It can be divided in two parts, 8008 and 440, that added together give a palindrome (8448).

The spelling of 8008440 in words is "eight million, eight thousand, four hundred forty".