13961664 has 42 divisors (see below), whose sum is σ = 40020240. Its totient is φ = 4653696.

The previous prime is 13961657. The next prime is 13961671. The reversal of 13961664 is 46616931.

13961664 is a `hidden beast` number, since 1 + 39 + 616 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (13961657) and next prime (13961671).

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 polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11544 + ... + 12695.

Almost surely, 2^13961664 is an apocalyptic number.

It is an amenable number.

13961664 is an abundant number, since it is smaller than the sum of its proper divisors (26058576).

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

13961664 is a wasteful number, since it uses less digits than its factorization.

13961664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24257 (or 24244 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 13961664 is about 3736.5310115132. The cubic root of 13961664 is about 240.7940367099.

The spelling of 13961664 in words is "thirteen million, nine hundred sixty-one thousand, six hundred sixty-four".