11289456 has 100 divisors (see below), whose sum is σ = 33849024. Its totient is φ = 3628800.

The previous prime is 11289451. The next prime is 11289511. The reversal of 11289456 is 65498211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11289456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11289451) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 40036 + ... + 40316.

Almost surely, 2^11289456 is an apocalyptic number.

11289456 is a gapful number since it is divisible by the number (16) 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 11289456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16924512).

11289456 is an abundant number, since it is smaller than the sum of its proper divisors (22559568).

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

11289456 is a wasteful number, since it uses less digits than its factorization.

11289456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 317 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 11289456 is about 3359.9785713602. The cubic root of 11289456 is about 224.3318847280.

The spelling of 11289456 in words is "eleven million, two hundred eighty-nine thousand, four hundred fifty-six".