11516904 has 80 divisors (see below), whose sum is σ = 36880800. Its totient is φ = 3289248.

The previous prime is 11516893. The next prime is 11516909. The reversal of 11516904 is 40961511.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11516909) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3267 + ... + 5805.

It is an arithmetic number, because the mean of its divisors is an integer number (461010).

Almost surely, 2^11516904 is an apocalyptic number.

11516904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11516904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18440400).

11516904 is an abundant number, since it is smaller than the sum of its proper divisors (25363896).

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

11516904 is a wasteful number, since it uses less digits than its factorization.

11516904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2564 (or 2551 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 11516904 is about 3393.6564351743. The cubic root of 11516904 is about 225.8284128441.

The spelling of 11516904 in words is "eleven million, five hundred sixteen thousand, nine hundred four".