14681664 has 84 divisors (see below), whose sum is σ = 42793920. Its totient is φ = 4811520.

The previous prime is 14681657. The next prime is 14681671. The reversal of 14681664 is 46618641.

It is an interprime number because it is at equal distance from previous prime (14681657) and next prime (14681671).

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, 40717 + ... + 41075.

Almost surely, 2^14681664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14681664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21396960).

14681664 is an abundant number, since it is smaller than the sum of its proper divisors (28112256).

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

14681664 is a wasteful number, since it uses less digits than its factorization.

14681664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 435 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 14681664 is about 3831.6659562128. The cubic root of 14681664 is about 244.8640867710.

It can be divided in two parts, 146 and 81664, that added together give a triangular number (81810 = T₄₀₄).

The spelling of 14681664 in words is "fourteen million, six hundred eighty-one thousand, six hundred sixty-four".