11275664 has 40 divisors (see below), whose sum is σ = 23808000. Its totient is φ = 5152896.

The previous prime is 11275657. The next prime is 11275669. The reversal of 11275664 is 46657211.

It is a self number, because there is not a number n which added to its sum of digits gives 11275664.

It is not an unprimeable number, because it can be changed into a prime (11275669) 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, 8177 + ... + 9455.

It is an arithmetic number, because the mean of its divisors is an integer number (595200).

Almost surely, 2^11275664 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 11275664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11904000).

11275664 is an abundant number, since it is smaller than the sum of its proper divisors (12532336).

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

11275664 is a wasteful number, since it uses less digits than its factorization.

11275664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1329 counting only the distinct ones).

The product of its digits is 10080, while the sum is 32.

The square root of 11275664 is about 3357.9255500979. The cubic root of 11275664 is about 224.2404942555.

The spelling of 11275664 in words is "eleven million, two hundred seventy-five thousand, six hundred sixty-four".