13664016 has 30 divisors (see below), whose sum is σ = 38240670. Its totient is φ = 4554624.

The previous prime is 13663999. The next prime is 13664069. The reversal of 13664016 is 61046631.

13664016 is a `hidden beast` number, since 1 + 3 + 6 + 640 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13660416 + 3600 = 3696^2 + 60^2 .

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 5 ways as a sum of consecutive naturals, for example, 47301 + ... + 47588.

It is an arithmetic number, because the mean of its divisors is an integer number (1274689).

Almost surely, 2^13664016 is an apocalyptic number.

13664016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13664016 is an abundant number, since it is smaller than the sum of its proper divisors (24576654).

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

13664016 is a wasteful number, since it uses less digits than its factorization.

13664016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94903 (or 94894 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 13664016 is about 3696.4869809050. The cubic root of 13664016 is about 239.0705719945.

The spelling of 13664016 in words is "thirteen million, six hundred sixty-four thousand, sixteen".