11268672 has 56 divisors (see below), whose sum is σ = 31394400. Its totient is φ = 3557376.

The previous prime is 11268641. The next prime is 11268707. The reversal of 11268672 is 27686211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2104 + ... + 5192.

Almost surely, 2^11268672 is an apocalyptic number.

11268672 is a gapful number since it is divisible by the number (12) 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 11268672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15697200).

11268672 is an abundant number, since it is smaller than the sum of its proper divisors (20125728).

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

11268672 is a wasteful number, since it uses less digits than its factorization.

11268672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3123 (or 3113 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 11268672 is about 3356.8842696763. The cubic root of 11268672 is about 224.1941344217.

The spelling of 11268672 in words is "eleven million, two hundred sixty-eight thousand, six hundred seventy-two".