11184640 has 80 divisors (see below), whose sum is σ = 28504872. Its totient is φ = 4194304.

The previous prime is 11184617. The next prime is 11184659. The reversal of 11184640 is 4648111.

It can be written as a sum of positive squares in 4 ways, for example, as 11182336 + 2304 = 3344^2 + 48^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4 and base 16.

It is an unprimeable number.

In principle, a polygon with 11184640 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43392 + ... + 43648.

Almost surely, 2^11184640 is an apocalyptic number.

11184640 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 11184640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14252436).

11184640 is an abundant number, since it is smaller than the sum of its proper divisors (17320232).

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

11184640 is an equidigital number, since it uses as much as digits as its factorization.

11184640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 11184640 is about 3344.3444798645. The cubic root of 11184640 is about 223.6354614921.

The spelling of 11184640 in words is "eleven million, one hundred eighty-four thousand, six hundred forty".