11627264 has 36 divisors (see below), whose sum is σ = 25325160. Its totient is φ = 5283840.

The previous prime is 11627261. The next prime is 11627267. The reversal of 11627264 is 46272611.

It is an interprime number because it is at equal distance from previous prime (11627261) and next prime (11627267).

It is not an unprimeable number, because it can be changed into a prime (11627261) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 752 + ... + 4880.

Almost surely, 2^11627264 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 11627264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12662580).

11627264 is an abundant number, since it is smaller than the sum of its proper divisors (13697896).

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

11627264 is an equidigital number, since it uses as much as digits as its factorization.

11627264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4156 (or 4142 counting only the distinct ones).

The product of its digits is 4032, while the sum is 29.

The square root of 11627264 is about 3409.8774171515. The cubic root of 11627264 is about 226.5474498033.

Adding to 11627264 its reverse (46272611), we get a palindrome (57899875).

The spelling of 11627264 in words is "eleven million, six hundred twenty-seven thousand, two hundred sixty-four".