11111664 has 20 divisors (see below), whose sum is σ = 28705256. Its totient is φ = 3703872.

The previous prime is 11111651. The next prime is 11111677. The reversal of 11111664 is 46611111.

It is an interprime number because it is at equal distance from previous prime (11111651) and next prime (11111677).

It is a super-3 number, since 3×11111664³ (a number of 22 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11111664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 115699 + ... + 115794.

Almost surely, 2^11111664 is an apocalyptic number.

It is an amenable number.

11111664 is an abundant number, since it is smaller than the sum of its proper divisors (17593592).

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

11111664 is a wasteful number, since it uses less digits than its factorization.

11111664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231504 (or 231498 counting only the distinct ones).

The product of its digits is 144, while the sum is 21.

The square root of 11111664 is about 3333.4162656350. The cubic root of 11111664 is about 223.1480178531.

Adding to 11111664 its reverse (46611111), we get a palindrome (57722775).

It can be divided in two parts, 1111 and 1664, that added together give a triangular number (2775 = T₇₄).

The spelling of 11111664 in words is "eleven million, one hundred eleven thousand, six hundred sixty-four".