11867904 has 144 divisors (see below), whose sum is σ = 37527840. Its totient is φ = 3686400.

The previous prime is 11867897. The next prime is 11867929. The reversal of 11867904 is 40976811.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117454 + ... + 117554.

It is an arithmetic number, because the mean of its divisors is an integer number (260610).

Almost surely, 2^11867904 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 11867904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18763920).

11867904 is an abundant number, since it is smaller than the sum of its proper divisors (25659936).

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

11867904 is a wasteful number, since it uses less digits than its factorization.

11867904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 11867904 is about 3444.9824382716. The cubic root of 11867904 is about 228.0996794065.

The spelling of 11867904 in words is "eleven million, eight hundred sixty-seven thousand, nine hundred four".