11445768 has 48 divisors (see below), whose sum is σ = 31449600. Its totient is φ = 3759840.

The previous prime is 11445767. The next prime is 11445773. The reversal of 11445768 is 86754411.

It is a happy number.

It is a Smith number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (11445767) 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, 3993 + ... + 6231.

It is an arithmetic number, because the mean of its divisors is an integer number (655200).

Almost surely, 2^11445768 is an apocalyptic number.

11445768 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 11445768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724800).

11445768 is an abundant number, since it is smaller than the sum of its proper divisors (20003832).

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

11445768 is a wasteful number, since it uses less digits than its factorization.

11445768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322 (or 2315 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 11445768 is about 3383.1594700812. The cubic root of 11445768 is about 225.3624971493.

The spelling of 11445768 in words is "eleven million, four hundred forty-five thousand, seven hundred sixty-eight".