11261664 has 36 divisors (see below), whose sum is σ = 32026176. Its totient is φ = 3753792.

The previous prime is 11261659. The next prime is 11261669. The reversal of 11261664 is 46616211.

It is an interprime number because it is at equal distance from previous prime (11261659) and next prime (11261669).

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11261669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19264 + ... + 19839.

It is an arithmetic number, because the mean of its divisors is an integer number (889616).

Almost surely, 2^11261664 is an apocalyptic number.

It is an amenable number.

11261664 is an abundant number, since it is smaller than the sum of its proper divisors (20764512).

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

11261664 is a wasteful number, since it uses less digits than its factorization.

11261664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39119 (or 39108 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 11261664 is about 3355.8402822542. The cubic root of 11261664 is about 224.1476492545.

Adding to 11261664 its reverse (46616211), we get a palindrome (57877875).

It can be divided in two parts, 112 and 61664, that added together give a triangular number (61776 = T₃₅₁).

The spelling of 11261664 in words is "eleven million, two hundred sixty-one thousand, six hundred sixty-four".