11400768 has 42 divisors (see below), whose sum is σ = 32679894. Its totient is φ = 3800064.

The previous prime is 11400757. The next prime is 11400769. The reversal of 11400768 is 86700411.

It is a happy number.

11400768 is digitally balanced in base 2 and base 4, because in such bases 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., 10810944 + 589824 = 3288^2 + 768^2 .

It is not an unprimeable number, because it can be changed into a prime (11400769) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9321 + ... + 10472.

Almost surely, 2^11400768 is an apocalyptic number.

11400768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11400768 is an abundant number, since it is smaller than the sum of its proper divisors (21279126).

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

11400768 is a wasteful number, since it uses less digits than its factorization.

11400768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19811 (or 19798 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 11400768 is about 3376.5023322960. The cubic root of 11400768 is about 225.0667653716.

The spelling of 11400768 in words is "eleven million, four hundred thousand, seven hundred sixty-eight".