13664448 has 84 divisors (see below), whose sum is σ = 44775120. Its totient is φ = 3902976.

The previous prime is 13664429. The next prime is 13664467. The reversal of 13664448 is 84446631.

13664448 is a `hidden beast` number, since 1 + 3 + 6 + 644 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (13664429) and next prime (13664467).

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2338 + ... + 5726.

Almost surely, 2^13664448 is an apocalyptic number.

13664448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13664448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22387560).

13664448 is an abundant number, since it is smaller than the sum of its proper divisors (31110672).

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

13664448 is a wasteful number, since it uses less digits than its factorization.

13664448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3414 (or 3401 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 13664448 is about 3696.5454143024. The cubic root of 13664448 is about 239.0730914441.

The spelling of 13664448 in words is "thirteen million, six hundred sixty-four thousand, four hundred forty-eight".