11408004 has 72 divisors (see below), whose sum is σ = 30270240. Its totient is φ = 3619200.

The previous prime is 11407993. The next prime is 11408017. The reversal of 11408004 is 40080411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87019 + ... + 87149.

It is an arithmetic number, because the mean of its divisors is an integer number (420420).

Almost surely, 2^11408004 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 11408004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15135120).

11408004 is an abundant number, since it is smaller than the sum of its proper divisors (18862236).

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

11408004 is a wasteful number, since it uses less digits than its factorization.

11408004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 11408004 is about 3377.5736853546. The cubic root of 11408004 is about 225.1143714827.

Adding to 11408004 its reverse (40080411), we get a palindrome (51488415).

The spelling of 11408004 in words is "eleven million, four hundred eight thousand, four".