14868336 has 160 divisors (see below), whose sum is σ = 49282560. Its totient is φ = 3760128.

The previous prime is 14868331. The next prime is 14868341. The reversal of 14868336 is 63386841.

It is an interprime number because it is at equal distance from previous prime (14868331) and next prime (14868341).

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

It is a junction number, because it is equal to n+sod(n) for n = 14868294 and 14868303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14868331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108460 + ... + 108596.

It is an arithmetic number, because the mean of its divisors is an integer number (308016).

Almost surely, 2^14868336 is an apocalyptic number.

14868336 is a gapful number since it is divisible by the number (16) 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 14868336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24641280).

14868336 is an abundant number, since it is smaller than the sum of its proper divisors (34414224).

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

14868336 is a wasteful number, since it uses less digits than its factorization.

14868336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 185 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 14868336 is about 3855.9481324312. The cubic root of 14868336 is about 245.8975050578.

The spelling of 14868336 in words is "fourteen million, eight hundred sixty-eight thousand, three hundred thirty-six".