14352768 has 64 divisors (see below), whose sum is σ = 42370800. Its totient is φ = 4783104.

The previous prime is 14352739. The next prime is 14352769. The reversal of 14352768 is 86725341.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14352769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1380 + ... + 5532.

Almost surely, 2^14352768 is an apocalyptic number.

14352768 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 14352768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21185400).

14352768 is an abundant number, since it is smaller than the sum of its proper divisors (28018032).

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

14352768 is an equidigital number, since it uses as much as digits as its factorization.

14352768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4176 (or 4158 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 14352768 is about 3788.5047182233. The cubic root of 14352768 is about 243.0217935034.

The spelling of 14352768 in words is "fourteen million, three hundred fifty-two thousand, seven hundred sixty-eight".