13943664 has 200 divisors, whose sum is σ = 48612960. Its totient is φ = 3773952.

The previous prime is 13943659. The next prime is 13943729. The reversal of 13943664 is 46634931.

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 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 39 ways as a sum of consecutive naturals, for example, 263062 + ... + 263114.

Almost surely, 2^13943664 is an apocalyptic number.

13943664 is a gapful number since it is divisible by the number (14) 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 13943664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24306480).

13943664 is an abundant number, since it is smaller than the sum of its proper divisors (34669296).

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

13943664 is a wasteful number, since it uses less digits than its factorization.

13943664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 94 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 13943664 is about 3734.1215834517. The cubic root of 13943664 is about 240.6905114030.

The spelling of 13943664 in words is "thirteen million, nine hundred forty-three thousand, six hundred sixty-four".