11483680 has 48 divisors (see below), whose sum is σ = 29222424. Its totient is φ = 4239360.

The previous prime is 11483639. The next prime is 11483683. The reversal of 11483680 is 8638411.

It can be written as a sum of positive squares in 4 ways, for example, as 5895184 + 5588496 = 2428^2 + 2364^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11483683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 681 + ... + 4840.

Almost surely, 2^11483680 is an apocalyptic number.

11483680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11483680 is an abundant number, since it is smaller than the sum of its proper divisors (17738744).

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

11483680 is a wasteful number, since it uses less digits than its factorization.

11483680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5549 (or 5541 counting only the distinct ones).

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

The square root of 11483680 is about 3388.7578845353. The cubic root of 11483680 is about 225.6110468578.

The spelling of 11483680 in words is "eleven million, four hundred eighty-three thousand, six hundred eighty".