11247264 has 108 divisors (see below), whose sum is σ = 37253034. Its totient is φ = 3209472.

The previous prime is 11247263. The next prime is 11247277. The reversal of 11247264 is 46274211.

11247264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9659664 + 1587600 = 3108^2 + 1260^2 .

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 (11247263) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13714 + ... + 14510.

Almost surely, 2^11247264 is an apocalyptic number.

11247264 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 11247264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18626517).

11247264 is an abundant number, since it is smaller than the sum of its proper divisors (26005770).

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

11247264 is a wasteful number, since it uses less digits than its factorization.

11247264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 809 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 11247264 is about 3353.6940826498. The cubic root of 11247264 is about 224.0520712279.

It can be divided in two parts, 11247 and 264, that added together give a palindrome (11511).

The spelling of 11247264 in words is "eleven million, two hundred forty-seven thousand, two hundred sixty-four".