11076000 has 192 divisors, whose sum is σ = 39626496. Its totient is φ = 2688000.

The previous prime is 11075989. The next prime is 11076007. The reversal of 11076000 is 67011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (11076007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155965 + ... + 156035.

It is an arithmetic number, because the mean of its divisors is an integer number (206388).

Almost surely, 2^11076000 is an apocalyptic number.

11076000 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 11076000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19813248).

11076000 is an abundant number, since it is smaller than the sum of its proper divisors (28550496).

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

11076000 is a wasteful number, since it uses less digits than its factorization.

11076000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 11076000 is about 3328.0624994131. The cubic root of 11076000 is about 222.9090233305.

The spelling of 11076000 in words is "eleven million, seventy-six thousand".