11742784 has 56 divisors (see below), whose sum is σ = 25347168. Its totient is φ = 5376000.

The previous prime is 11742781. The next prime is 11742793. The reversal of 11742784 is 48724711.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11742781) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46659 + ... + 46909.

It is an arithmetic number, because the mean of its divisors is an integer number (452628).

Almost surely, 2^11742784 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 11742784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12673584).

11742784 is an abundant number, since it is smaller than the sum of its proper divisors (13604384).

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

11742784 is a wasteful number, since it uses less digits than its factorization.

11742784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 313 counting only the distinct ones).

The product of its digits is 12544, while the sum is 34.

The square root of 11742784 is about 3426.7745767704. The cubic root of 11742784 is about 227.2952486967.

The spelling of 11742784 in words is "eleven million, seven hundred forty-two thousand, seven hundred eighty-four".