14987664 has 120 divisors (see below), whose sum is σ = 45023160. Its totient is φ = 4644864.

The previous prime is 14987657. The next prime is 14987669. The reversal of 14987664 is 46678941.

It can be written as a sum of positive squares in 4 ways, for example, as 4875264 + 10112400 = 2208^2 + 3180^2 .

Its product of digits (290304) is a multiple of the sum of its prime divisors (168).

It is not an unprimeable number, because it can be changed into a prime (14987669) 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, 154464 + ... + 154560.

It is an arithmetic number, because the mean of its divisors is an integer number (375193).

Almost surely, 2^14987664 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 14987664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22511580).

14987664 is an abundant number, since it is smaller than the sum of its proper divisors (30035496).

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

14987664 is a wasteful number, since it uses less digits than its factorization.

14987664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 168 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 14987664 is about 3871.3904478882. The cubic root of 14987664 is about 246.5535817976.

It can be divided in two parts, 14987 and 664, that added together give a palindrome (15651).

The spelling of 14987664 in words is "fourteen million, nine hundred eighty-seven thousand, six hundred sixty-four".