11872784 has 80 divisors (see below), whose sum is σ = 29998080. Its totient is φ = 4414080.

The previous prime is 11872771. The next prime is 11872787. The reversal of 11872784 is 48727811.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11872787) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28127 + ... + 28545.

It is an arithmetic number, because the mean of its divisors is an integer number (374976).

Almost surely, 2^11872784 is an apocalyptic number.

11872784 is a gapful number since it is divisible by the number (14) 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 11872784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999040).

11872784 is an abundant number, since it is smaller than the sum of its proper divisors (18125296).

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

11872784 is a wasteful number, since it uses less digits than its factorization.

11872784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 462 counting only the distinct ones).

The product of its digits is 25088, while the sum is 38.

The square root of 11872784 is about 3445.6906419468. The cubic root of 11872784 is about 228.1309394588.

It can be divided in two parts, 118727 and 84, that added together give a palindrome (118811).

The spelling of 11872784 in words is "eleven million, eight hundred seventy-two thousand, seven hundred eighty-four".