11368480 has 48 divisors (see below), whose sum is σ = 27528984. Its totient is φ = 4433920.

The previous prime is 11368471. The next prime is 11368481. The reversal of 11368480 is 8486311.

It can be written as a sum of positive squares in 4 ways, for example, as 5817744 + 5550736 = 2412^2 + 2356^2 .

It is not an unprimeable number, because it can be changed into a prime (11368481) 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, 5694 + ... + 7426.

Almost surely, 2^11368480 is an apocalyptic number.

11368480 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 11368480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13764492).

11368480 is an abundant number, since it is smaller than the sum of its proper divisors (16160504).

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

11368480 is a wasteful number, since it uses less digits than its factorization.

11368480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 11368480 is about 3371.7176631503. The cubic root of 11368480 is about 224.8540947060.

The spelling of 11368480 in words is "eleven million, three hundred sixty-eight thousand, four hundred eighty".