13985664 has 192 divisors, whose sum is σ = 47752320. Its totient is φ = 3548160.

The previous prime is 13985663. The next prime is 13985669. The reversal of 13985664 is 46658931.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13985663) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 325227 + ... + 325269.

It is an arithmetic number, because the mean of its divisors is an integer number (248710).

Almost surely, 2^13985664 is an apocalyptic number.

13985664 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 13985664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23876160).

13985664 is an abundant number, since it is smaller than the sum of its proper divisors (33766656).

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

13985664 is a wasteful number, since it uses less digits than its factorization.

13985664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 66 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 13985664 is about 3739.7411675141. The cubic root of 13985664 is about 240.9319321321.

The spelling of 13985664 in words is "thirteen million, nine hundred eighty-five thousand, six hundred sixty-four".