11276000 has 48 divisors (see below), whose sum is σ = 27714960. Its totient is φ = 4508800.

The previous prime is 11275997. The next prime is 11276011. The reversal of 11276000 is 67211.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11276000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2591 + ... + 5409.

It is an arithmetic number, because the mean of its divisors is an integer number (577395).

Almost surely, 2^11276000 is an apocalyptic number.

11276000 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 11276000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13857480).

11276000 is an abundant number, since it is smaller than the sum of its proper divisors (16438960).

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

11276000 is an equidigital number, since it uses as much as digits as its factorization.

11276000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2844 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 11276000 is about 3357.9755806140. The cubic root of 11276000 is about 224.2427215910.

The spelling of 11276000 in words is "eleven million, two hundred seventy-six thousand".