11143968 has 96 divisors (see below), whose sum is σ = 32622912. Its totient is φ = 3302400.

The previous prime is 11143967. The next prime is 11143981. The reversal of 11143968 is 86934111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (11143963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64330 + ... + 64502.

It is an arithmetic number, because the mean of its divisors is an integer number (339822).

Almost surely, 2^11143968 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 11143968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16311456).

11143968 is an abundant number, since it is smaller than the sum of its proper divisors (21478944).

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

11143968 is a wasteful number, since it uses less digits than its factorization.

11143968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 250 counting only the distinct ones).

The product of its digits is 5184, while the sum is 33.

The square root of 11143968 is about 3338.2582284778. The cubic root of 11143968 is about 223.3640550792.

The spelling of 11143968 in words is "eleven million, one hundred forty-three thousand, nine hundred sixty-eight".