11012664 has 64 divisors (see below), whose sum is σ = 30320640. Its totient is φ = 3312000.

The previous prime is 11012621. The next prime is 11012669. The reversal of 11012664 is 46621011.

It is a self number, because there is not a number n which added to its sum of digits gives 11012664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012669) 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, 14289 + ... + 15039.

It is an arithmetic number, because the mean of its divisors is an integer number (473760).

Almost surely, 2^11012664 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 11012664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15160320).

11012664 is an abundant number, since it is smaller than the sum of its proper divisors (19307976).

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

11012664 is a wasteful number, since it uses less digits than its factorization.

11012664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 816 counting only the distinct ones).

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

The square root of 11012664 is about 3318.5334110116. The cubic root of 11012664 is about 222.4833232461.

Adding to 11012664 its reverse (46621011), we get a palindrome (57633675).

The spelling of 11012664 in words is "eleven million, twelve thousand, six hundred sixty-four".