11064000 has 112 divisors (see below), whose sum is σ = 36612576. Its totient is φ = 2944000.

The previous prime is 11063981. The next prime is 11064007. The reversal of 11064000 is 46011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11064007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23770 + ... + 24230.

It is an arithmetic number, because the mean of its divisors is an integer number (326898).

Almost surely, 2^11064000 is an apocalyptic number.

11064000 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 11064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18306288).

11064000 is an abundant number, since it is smaller than the sum of its proper divisors (25548576).

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

11064000 is an equidigital number, since it uses as much as digits as its factorization.

11064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 11064000 is about 3326.2591600776. The cubic root of 11064000 is about 222.8284926070.

The spelling of 11064000 in words is "eleven million, sixty-four thousand".