11642784 has 48 divisors (see below), whose sum is σ = 31897152. Its totient is φ = 3711488.

The previous prime is 11642759. The next prime is 11642789. The reversal of 11642784 is 48724611.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (11642789) 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, 429 + ... + 4844.

It is an arithmetic number, because the mean of its divisors is an integer number (664524).

Almost surely, 2^11642784 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 11642784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15948576).

11642784 is an abundant number, since it is smaller than the sum of its proper divisors (20254368).

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

11642784 is a wasteful number, since it uses less digits than its factorization.

11642784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5309 (or 5301 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 11642784 is about 3412.1523998790. The cubic root of 11642784 is about 226.6482030328.

The spelling of 11642784 in words is "eleven million, six hundred forty-two thousand, seven hundred eighty-four".