1111968 has 144 divisors (see below), whose sum is σ = 3852576. Its totient is φ = 311040.

The previous prime is 1111967. The next prime is 1111991. The reversal of 1111968 is 8691111.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (1111963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85530 + ... + 85542.

It is an arithmetic number, because the mean of its divisors is an integer number (26754).

2^1111968 is an apocalyptic number.

1111968 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 1111968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926288).

1111968 is an abundant number, since it is smaller than the sum of its proper divisors (2740608).

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

1111968 is a wasteful number, since it uses less digits than its factorization.

1111968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 29 counting only the distinct ones).

The product of its digits is 432, while the sum is 27.

The square root of 1111968 is about 1054.4989331431. The cubic root of 1111968 is about 103.6010355536.

The spelling of 1111968 in words is "one million, one hundred eleven thousand, nine hundred sixty-eight".