11400960 has 72 divisors (see below), whose sum is σ = 36424080. Its totient is φ = 3039232.

The previous prime is 11400959. The next prime is 11400971. The reversal of 11400960 is 6900411.

11400960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2356 + ... + 5324.

It is an arithmetic number, because the mean of its divisors is an integer number (505890).

Almost surely, 2^11400960 is an apocalyptic number.

11400960 is a gapful number since it is divisible by the number (10) 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 11400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18212040).

11400960 is an abundant number, since it is smaller than the sum of its proper divisors (25023120).

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

11400960 is an equidigital number, since it uses as much as digits as its factorization.

11400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2993 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 11400960 is about 3376.5307639647. The cubic root of 11400960 is about 225.0680288121.

The spelling of 11400960 in words is "eleven million, four hundred thousand, nine hundred sixty".