11384064 has 126 divisors (see below), whose sum is σ = 34628426. Its totient is φ = 3732480.

The previous prime is 11384053. The next prime is 11384071. The reversal of 11384064 is 46048311.

It can be written as a sum of positive squares in only one way, i.e., 6718464 + 4665600 = 2592^2 + 2160^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 186594 + ... + 186654.

Almost surely, 2^11384064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11384064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17314213).

11384064 is an abundant number, since it is smaller than the sum of its proper divisors (23244362).

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

11384064 is an frugal number, since it uses more digits than its factorization.

11384064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 66 counting only the distinct ones).

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

The square root of 11384064 is about 3374.0278599917. The cubic root of 11384064 is about 224.9567917029.

The spelling of 11384064 in words is "eleven million, three hundred eighty-four thousand, sixty-four".