11286000 has 320 divisors, whose sum is σ = 46425600. Its totient is φ = 2592000.

The previous prime is 11285993. The next prime is 11286007. The reversal of 11286000 is 68211.

11286000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11285993) and next prime (11286007).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11286007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 593991 + ... + 594009.

It is an arithmetic number, because the mean of its divisors is an integer number (145080).

Almost surely, 2^11286000 is an apocalyptic number.

11286000 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 11286000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23212800).

11286000 is an abundant number, since it is smaller than the sum of its proper divisors (35139600).

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

11286000 is a wasteful number, since it uses less digits than its factorization.

11286000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 11286000 is about 3359.4642430007. The cubic root of 11286000 is about 224.3089910911.

The spelling of 11286000 in words is "eleven million, two hundred eighty-six thousand".