14527968 has 96 divisors (see below), whose sum is σ = 46964736. Its totient is φ = 3829248.

The previous prime is 14527967. The next prime is 14527969. The reversal of 14527968 is 86972541.

It is an interprime number because it is at equal distance from previous prime (14527967) and next prime (14527969).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×14527968² = 422123708418048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14527963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7905 + ... + 9567.

It is an arithmetic number, because the mean of its divisors is an integer number (489216).

Almost surely, 2^14527968 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 14527968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23482368).

14527968 is an abundant number, since it is smaller than the sum of its proper divisors (32436768).

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

14527968 is a wasteful number, since it uses less digits than its factorization.

14527968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696 (or 1688 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 14527968 is about 3811.5571621058. The cubic root of 14527968 is about 244.0066288623.

The spelling of 14527968 in words is "fourteen million, five hundred twenty-seven thousand, nine hundred sixty-eight".