14953968 has 60 divisors (see below), whose sum is σ = 42266640. Its totient is φ = 4935168.

The previous prime is 14953951. The next prime is 14953973. The reversal of 14953968 is 86935941.

It is a happy number.

14953968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15813 + ... + 16731.

It is an arithmetic number, because the mean of its divisors is an integer number (704444).

Almost surely, 2^14953968 is an apocalyptic number.

14953968 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 14953968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21133320).

14953968 is an abundant number, since it is smaller than the sum of its proper divisors (27312672).

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

14953968 is a wasteful number, since it uses less digits than its factorization.

14953968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1037 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 14953968 is about 3867.0360743081. The cubic root of 14953968 is about 246.3686718758.

The spelling of 14953968 in words is "fourteen million, nine hundred fifty-three thousand, nine hundred sixty-eight".