11447968 has 60 divisors (see below), whose sum is σ = 26469450. Its totient is φ = 4873344.

The previous prime is 11447963. The next prime is 11447971. The reversal of 11447968 is 86974411.

11447968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11102224 + 345744 = 3332^2 + 588^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11447968.

It is not an unprimeable number, because it can be changed into a prime (11447963) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 76758 + ... + 76906.

Almost surely, 2^11447968 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 11447968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13234725).

11447968 is an abundant number, since it is smaller than the sum of its proper divisors (15021482).

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

11447968 is an frugal number, since it uses more digits than its factorization.

11447968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 158 counting only the distinct ones).

The product of its digits is 48384, while the sum is 40.

The square root of 11447968 is about 3383.4845943199. The cubic root of 11447968 is about 225.3769352581.

The spelling of 11447968 in words is "eleven million, four hundred forty-seven thousand, nine hundred sixty-eight".