11807904 has 48 divisors (see below), whose sum is σ = 31667328. Its totient is φ = 3850752.

The previous prime is 11807899. The next prime is 11807909. The reversal of 11807904 is 40970811.

It is an interprime number because it is at equal distance from previous prime (11807899) and next prime (11807909).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11807909) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3204 + ... + 5820.

It is an arithmetic number, because the mean of its divisors is an integer number (659736).

Almost surely, 2^11807904 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 11807904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15833664).

11807904 is an abundant number, since it is smaller than the sum of its proper divisors (19859424).

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

11807904 is a wasteful number, since it uses less digits than its factorization.

11807904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 11807904 is about 3436.2630865520. The cubic root of 11807904 is about 227.7146322064.

The spelling of 11807904 in words is "eleven million, eight hundred seven thousand, nine hundred four".