11872968 has 64 divisors (see below), whose sum is σ = 31397760. Its totient is φ = 3734016.

The previous prime is 11872961. The next prime is 11873011. The reversal of 11872968 is 86927811.

It is not an unprimeable number, because it can be changed into a prime (11872961) 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 15 ways as a sum of consecutive naturals, for example, 75546 + ... + 75702.

It is an arithmetic number, because the mean of its divisors is an integer number (490590).

Almost surely, 2^11872968 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 11872968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15698880).

11872968 is an abundant number, since it is smaller than the sum of its proper divisors (19524792).

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

11872968 is a wasteful number, since it uses less digits than its factorization.

11872968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 322 counting only the distinct ones).

The product of its digits is 48384, while the sum is 42.

The square root of 11872968 is about 3445.7173418608. The cubic root of 11872968 is about 228.1321179489.

The spelling of 11872968 in words is "eleven million, eight hundred seventy-two thousand, nine hundred sixty-eight".