8040408 has 64 divisors (see below), whose sum is σ = 21150720. Its totient is φ = 2544000.

The previous prime is 8040407. The next prime is 8040413.

8040408 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8040407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75091 + ... + 75197.

It is an arithmetic number, because the mean of its divisors is an integer number (330480).

Almost surely, 2^8040408 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 8040408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10575360).

8040408 is an abundant number, since it is smaller than the sum of its proper divisors (13110312).

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

8040408 is a wasteful number, since it uses less digits than its factorization.

8040408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 244 counting only the distinct ones).

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

The square root of 8040408 is about 2835.5613200917. The cubic root of 8040408 is about 200.3361679722.

It can be divided in two parts, 8040 and 408, that added together give a palindrome (8448).

The spelling of 8040408 in words is "eight million, forty thousand, four hundred eight".