14415968 has 48 divisors (see below), whose sum is σ = 32739840. Its totient is φ = 6120576.

The previous prime is 14415937. The next prime is 14415971. The reversal of 14415968 is 86951441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30905 + ... + 31367.

It is an arithmetic number, because the mean of its divisors is an integer number (682080).

Almost surely, 2^14415968 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 14415968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16369920).

14415968 is an abundant number, since it is smaller than the sum of its proper divisors (18323872).

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

14415968 is a wasteful number, since it uses less digits than its factorization.

14415968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 611 counting only the distinct ones).

The product of its digits is 34560, while the sum is 38.

The square root of 14415968 is about 3796.8365779949. The cubic root of 14415968 is about 243.3779730867.

The spelling of 14415968 in words is "fourteen million, four hundred fifteen thousand, nine hundred sixty-eight".