11812968 has 48 divisors (see below), whose sum is σ = 32198400. Its totient is φ = 3912480.

The previous prime is 11812963. The next prime is 11812981. The reversal of 11812968 is 86921811.

It is a Cunningham number, because it is equal to 3437²-1.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11812963) 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, 13323 + ... + 14181.

It is an arithmetic number, because the mean of its divisors is an integer number (670800).

Almost surely, 2^11812968 is an apocalyptic number.

11812968 is a gapful number since it is divisible by the number (18) 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 11812968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16099200).

11812968 is an abundant number, since it is smaller than the sum of its proper divisors (20385432).

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

11812968 is a wasteful number, since it uses less digits than its factorization.

11812968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1055 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The square root of 11812968 is about 3436.9998545243. Note that the first 3 decimals coincide. The cubic root of 11812968 is about 227.7471805200.

The spelling of 11812968 in words is "eleven million, eight hundred twelve thousand, nine hundred sixty-eight".