11459968 has 64 divisors (see below), whose sum is σ = 25189920. Its totient is φ = 5160960.

The previous prime is 11459953. The next prime is 11459969. The reversal of 11459968 is 86995411.

11459968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×11459968² = 262661733122048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11459969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118096 + ... + 118192.

Almost surely, 2^11459968 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 11459968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12594960).

11459968 is an abundant number, since it is smaller than the sum of its proper divisors (13729952).

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

11459968 is an equidigital number, since it uses as much as digits as its factorization.

11459968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 183 counting only the distinct ones).

The product of its digits is 77760, while the sum is 43.

The square root of 11459968 is about 3385.2574495893. The cubic root of 11459968 is about 225.4556560346.

The spelling of 11459968 in words is "eleven million, four hundred fifty-nine thousand, nine hundred sixty-eight".