14001768 has 128 divisors (see below), whose sum is σ = 43545600. Its totient is φ = 4132800.

The previous prime is 14001763. The next prime is 14001769. The reversal of 14001768 is 86710041.

It is a happy number.

14001768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14001763) 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, 168655 + ... + 168737.

It is an arithmetic number, because the mean of its divisors is an integer number (340200).

Almost surely, 2^14001768 is an apocalyptic number.

14001768 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 14001768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772800).

14001768 is an abundant number, since it is smaller than the sum of its proper divisors (29543832).

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

14001768 is a wasteful number, since it uses less digits than its factorization.

14001768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 14001768 is about 3741.8936382532. The cubic root of 14001768 is about 241.0243715417.

The spelling of 14001768 in words is "fourteen million, one thousand, seven hundred sixty-eight".