11266640 has 160 divisors (see below), whose sum is σ = 34283520. Its totient is φ = 3340800.

The previous prime is 11266613. The next prime is 11266643. The reversal of 11266640 is 4666211.

It is a happy number.

11266640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11266643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190931 + ... + 190989.

It is an arithmetic number, because the mean of its divisors is an integer number (214272).

Almost surely, 2^11266640 is an apocalyptic number.

11266640 is a gapful number since it is divisible by the number (10) 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 11266640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17141760).

11266640 is an abundant number, since it is smaller than the sum of its proper divisors (23016880).

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

11266640 is a wasteful number, since it uses less digits than its factorization.

11266640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 11266640 is about 3356.5815944201. The cubic root of 11266640 is about 224.1806578302.

The spelling of 11266640 in words is "eleven million, two hundred sixty-six thousand, six hundred forty".