14363664 has 120 divisors (see below), whose sum is σ = 44782848. Its totient is φ = 3951360.

The previous prime is 14363651. The next prime is 14363669. The reversal of 14363664 is 46636341.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14363669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72814 + ... + 73010.

Almost surely, 2^14363664 is an apocalyptic number.

14363664 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 14363664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22391424).

14363664 is an abundant number, since it is smaller than the sum of its proper divisors (30419184).

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

14363664 is a wasteful number, since it uses less digits than its factorization.

14363664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 240 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 14363664 is about 3789.9424797746. The cubic root of 14363664 is about 243.0832751556.

The spelling of 14363664 in words is "fourteen million, three hundred sixty-three thousand, six hundred sixty-four".