13664112 has 80 divisors (see below), whose sum is σ = 44020992. Its totient is φ = 3548160.

The previous prime is 13664071. The next prime is 13664129. The reversal of 13664112 is 21146631.

It is a super-4 number, since 4×13664112⁴ (a number of 30 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1848 + ... + 5544.

Almost surely, 2^13664112 is an apocalyptic number.

13664112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 3696×3697.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13664112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22010496).

13664112 is an abundant number, since it is smaller than the sum of its proper divisors (30356880).

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

13664112 is a wasteful number, since it uses less digits than its factorization.

13664112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3726 (or 3720 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 13664112 is about 3696.4999661842. The cubic root of 13664112 is about 239.0711318768.

The spelling of 13664112 in words is "thirteen million, six hundred sixty-four thousand, one hundred twelve".