11564000 has 144 divisors (see below), whose sum is σ = 33611760. Its totient is φ = 3897600.

The previous prime is 11563997. The next prime is 11564051. The reversal of 11564000 is 46511.

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 11564000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195971 + ... + 196029.

It is an arithmetic number, because the mean of its divisors is an integer number (233415).

Almost surely, 2^11564000 is an apocalyptic number.

11564000 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 11564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16805880).

11564000 is an abundant number, since it is smaller than the sum of its proper divisors (22047760).

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

11564000 is an equidigital number, since it uses as much as digits as its factorization.

11564000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 11564000 is about 3400.5881844175. The cubic root of 11564000 is about 226.1358204134.

The spelling of 11564000 in words is "eleven million, five hundred sixty-four thousand".