11607904 has 72 divisors (see below), whose sum is σ = 29044008. Its totient is φ = 4515840.

The previous prime is 11607881. The next prime is 11607907. The reversal of 11607904 is 40970611.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11607907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16912 + ... + 17584.

It is an arithmetic number, because the mean of its divisors is an integer number (403389).

Almost surely, 2^11607904 is an apocalyptic number.

11607904 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 11607904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14522004).

11607904 is an abundant number, since it is smaller than the sum of its proper divisors (17436104).

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

11607904 is a wasteful number, since it uses less digits than its factorization.

11607904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 11607904 is about 3407.0374227472. The cubic root of 11607904 is about 226.4216421852.

The spelling of 11607904 in words is "eleven million, six hundred seven thousand, nine hundred four".