11968704 has 84 divisors (see below), whose sum is σ = 37444680. Its totient is φ = 3624960.

The previous prime is 11968667. The next prime is 11968709. The reversal of 11968704 is 40786911.

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

It is not an unprimeable number, because it can be changed into a prime (11968709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5392 + ... + 7280.

It is an arithmetic number, because the mean of its divisors is an integer number (445770).

Almost surely, 2^11968704 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 11968704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18722340).

11968704 is an abundant number, since it is smaller than the sum of its proper divisors (25475976).

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

11968704 is a wasteful number, since it uses less digits than its factorization.

11968704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1905 counting only the distinct ones).

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

The square root of 11968704 is about 3459.5814775779. The cubic root of 11968704 is about 228.7436475885.

The spelling of 11968704 in words is "eleven million, nine hundred sixty-eight thousand, seven hundred four".