11286720 has 84 divisors (see below), whose sum is σ = 38831520. Its totient is φ = 3009024.

The previous prime is 11286719. The next prime is 11286727. The reversal of 11286720 is 2768211.

It is not an unprimeable number, because it can be changed into a prime (11286727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 921 + ... + 4839.

It is an arithmetic number, because the mean of its divisors is an integer number (462280).

Almost surely, 2^11286720 is an apocalyptic number.

11286720 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 11286720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19415760).

11286720 is an abundant number, since it is smaller than the sum of its proper divisors (27544800).

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

11286720 is a wasteful number, since it uses less digits than its factorization.

11286720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3942 (or 3929 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 11286720 is about 3359.5714012356. The cubic root of 11286720 is about 224.3137609842.

The spelling of 11286720 in words is "eleven million, two hundred eighty-six thousand, seven hundred twenty".