14993568 has 72 divisors (see below), whose sum is σ = 43243200. Its totient is φ = 4927104.

The previous prime is 14993557. The next prime is 14993579. The reversal of 14993568 is 86539941.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14993557) and next prime (14993579).

It is a tau number, because it is divible by the number of its divisors (72).

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, 22423 + ... + 23081.

It is an arithmetic number, because the mean of its divisors is an integer number (600600).

Almost surely, 2^14993568 is an apocalyptic number.

14993568 is a gapful number since it is divisible by the number (18) 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 14993568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21621600).

14993568 is an abundant number, since it is smaller than the sum of its proper divisors (28249632).

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

14993568 is a wasteful number, since it uses less digits than its factorization.

14993568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 743 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 14993568 is about 3872.1528895435. The cubic root of 14993568 is about 246.5859520021.

The spelling of 14993568 in words is "fourteen million, nine hundred ninety-three thousand, five hundred sixty-eight".