11201664 has 64 divisors (see below), whose sum is σ = 30746880. Its totient is φ = 3609600.

The previous prime is 11201653. The next prime is 11201669. The reversal of 11201664 is 46610211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 11201664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11434 + ... + 12374.

It is an arithmetic number, because the mean of its divisors is an integer number (480420).

Almost surely, 2^11201664 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 11201664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15373440).

11201664 is an abundant number, since it is smaller than the sum of its proper divisors (19545216).

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

11201664 is an equidigital number, since it uses as much as digits as its factorization.

11201664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 11201664 is about 3346.8887044537. Note that the first 3 decimals coincide. The cubic root of 11201664 is about 223.7488682152.

Adding to 11201664 its reverse (46610211), we get a palindrome (57811875).

The spelling of 11201664 in words is "eleven million, two hundred one thousand, six hundred sixty-four".