11289564 has 192 divisors, whose sum is σ = 37255680. Its totient is φ = 2903040.

The previous prime is 11289559. The next prime is 11289569. The reversal of 11289564 is 46598211.

11289564 is a `hidden beast` number, since 1 + 12 + 89 + 564 = 666.

11289564 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 (11289559) and next prime (11289569).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11289569) 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, 262527 + ... + 262569.

It is an arithmetic number, because the mean of its divisors is an integer number (194040).

Almost surely, 2^11289564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11289564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18627840).

11289564 is an abundant number, since it is smaller than the sum of its proper divisors (25966116).

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

11289564 is a wasteful number, since it uses less digits than its factorization.

11289564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 89 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 11289564 is about 3359.9946428529. The cubic root of 11289564 is about 224.3326000789.

Adding to 11289564 its sum of digits (36), we get a square (11289600 = 3360²).

It can be divided in two parts, 112 and 89564, that added together give a triangular number (89676 = T₄₂₃).

The spelling of 11289564 in words is "eleven million, two hundred eighty-nine thousand, five hundred sixty-four".