11364480 has 96 divisors (see below), whose sum is σ = 39262860. Its totient is φ = 3028992.

The previous prime is 11364469. The next prime is 11364481. The reversal of 11364480 is 8446311.

11364480 is a `hidden beast` number, since 1 + 13 + 644 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10810944 + 553536 = 3288^2 + 744^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (11364481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4774 + ... + 6746.

Almost surely, 2^11364480 is an apocalyptic number.

11364480 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 11364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19631430).

11364480 is an abundant number, since it is smaller than the sum of its proper divisors (27898380).

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

11364480 is a wasteful number, since it uses less digits than its factorization.

11364480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 11364480 is about 3371.1244414883. The cubic root of 11364480 is about 224.8277199726.

The spelling of 11364480 in words is "eleven million, three hundred sixty-four thousand, four hundred eighty".