11284736 has 36 divisors (see below), whose sum is σ = 23859612. Its totient is φ = 5308416.

The previous prime is 11284649. The next prime is 11284739. The reversal of 11284736 is 63748211.

It can be written as a sum of positive squares in 2 ways, for example, as 7840000 + 3444736 = 2800^2 + 1856^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11284739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3056 + ... + 5648.

It is an arithmetic number, because the mean of its divisors is an integer number (662767).

Almost surely, 2^11284736 is an apocalyptic number.

11284736 is a gapful number since it is divisible by the number (16) 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 11284736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11929806).

11284736 is an abundant number, since it is smaller than the sum of its proper divisors (12574876).

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

11284736 is an equidigital number, since it uses as much as digits as its factorization.

11284736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626 (or 2612 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 11284736 is about 3359.2761124980. The cubic root of 11284736 is about 224.3006167882.

It can be divided in two parts, 112 and 84736, that added together give a palindrome (84848).

The spelling of 11284736 in words is "eleven million, two hundred eighty-four thousand, seven hundred thirty-six".