11267648 has 42 divisors (see below), whose sum is σ = 26016966. Its totient is φ = 4827648.

The previous prime is 11267621. The next prime is 11267681. The reversal of 11267648 is 84676211.

11267648 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., 8809024 + 2458624 = 2968^2 + 1568^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1340 + ... + 4932.

Almost surely, 2^11267648 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 11267648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13008483).

11267648 is an abundant number, since it is smaller than the sum of its proper divisors (14749318).

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

11267648 is an equidigital number, since it uses as much as digits as its factorization.

11267648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3619 (or 3602 counting only the distinct ones).

The product of its digits is 16128, while the sum is 35.

The square root of 11267648 is about 3356.7317438246. The cubic root of 11267648 is about 224.1873432710.

The spelling of 11267648 in words is "eleven million, two hundred sixty-seven thousand, six hundred forty-eight".