11413760 has 72 divisors (see below), whose sum is σ = 28194936. Its totient is φ = 4423680.

The previous prime is 11413751. The next prime is 11413763. The reversal of 11413760 is 6731411.

It can be written as a sum of positive squares in 4 ways, for example, as 4528384 + 6885376 = 2128^2 + 2624^2 .

It is not an unprimeable number, because it can be changed into a prime (11413763) 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, 47240 + ... + 47480.

Almost surely, 2^11413760 is an apocalyptic number.

11413760 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 11413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14097468).

11413760 is an abundant number, since it is smaller than the sum of its proper divisors (16781176).

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

11413760 is an equidigital number, since it uses as much as digits as its factorization.

11413760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 11413760 is about 3378.4256688582. The cubic root of 11413760 is about 225.1522262046.

The spelling of 11413760 in words is "eleven million, four hundred thirteen thousand, seven hundred sixty".