14427968 has 56 divisors (see below), whose sum is σ = 30861000. Its totient is φ = 6668288.

The previous prime is 14427967. The next prime is 14427977. The reversal of 14427968 is 86972441.

It can be written as a sum of positive squares in 4 ways, for example, as 350464 + 14077504 = 592^2 + 3752^2 .

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14427967) 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, 96758 + ... + 96906.

Almost surely, 2^14427968 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 14427968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15430500).

14427968 is an abundant number, since it is smaller than the sum of its proper divisors (16433032).

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

14427968 is a wasteful number, since it uses less digits than its factorization.

14427968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 257 counting only the distinct ones).

The product of its digits is 96768, while the sum is 41.

The square root of 14427968 is about 3798.4165121798. The cubic root of 14427968 is about 243.4454844670.

The spelling of 14427968 in words is "fourteen million, four hundred twenty-seven thousand, nine hundred sixty-eight".