11269440 has 336 divisors, whose sum is σ = 48816768. Its totient is φ = 2322432.

The previous prime is 11269417. The next prime is 11269457. The reversal of 11269440 is 4496211.

11269440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 262059 + ... + 262101.

It is an arithmetic number, because the mean of its divisors is an integer number (145288).

Almost surely, 2^11269440 is an apocalyptic number.

11269440 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 11269440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24408384).

11269440 is an abundant number, since it is smaller than the sum of its proper divisors (37547328).

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

11269440 is a wasteful number, since it uses less digits than its factorization.

11269440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 11269440 is about 3356.9986595172. The cubic root of 11269440 is about 224.1992275147.

The spelling of 11269440 in words is "eleven million, two hundred sixty-nine thousand, four hundred forty".