11475760 has 40 divisors (see below), whose sum is σ = 27092016. Its totient is φ = 4519680.

The previous prime is 11475757. The next prime is 11475767. The reversal of 11475760 is 6757411.

11475760 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 (40).

It is not an unprimeable number, because it can be changed into a prime (11475767) 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, 4290 + ... + 6430.

Almost surely, 2^11475760 is an apocalyptic number.

11475760 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 11475760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13546008).

11475760 is an abundant number, since it is smaller than the sum of its proper divisors (15616256).

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

11475760 is a wasteful number, since it uses less digits than its factorization.

11475760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2221 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 31.

The square root of 11475760 is about 3387.5891132190. The cubic root of 11475760 is about 225.5591688759.

The spelling of 11475760 in words is "eleven million, four hundred seventy-five thousand, seven hundred sixty".