11564384 has 24 divisors (see below), whose sum is σ = 24519600. Its totient is φ = 5337216.

The previous prime is 11564381. The next prime is 11564447. The reversal of 11564384 is 48346511.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 11564384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11564381) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13484 + ... + 14315.

It is an arithmetic number, because the mean of its divisors is an integer number (1021650).

Almost surely, 2^11564384 is an apocalyptic number.

It is an amenable number.

11564384 is an abundant number, since it is smaller than the sum of its proper divisors (12955216).

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

11564384 is a wasteful number, since it uses less digits than its factorization.

11564384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27822 (or 27814 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The square root of 11564384 is about 3400.6446447696. The cubic root of 11564384 is about 226.1383234456.

The spelling of 11564384 in words is "eleven million, five hundred sixty-four thousand, three hundred eighty-four".