14947968 has 128 divisors (see below), whose sum is σ = 46609920. Its totient is φ = 4156416.

The previous prime is 14947967. The next prime is 14947969. The reversal of 14947968 is 86974941.

It is an interprime number because it is at equal distance from previous prime (14947967) and next prime (14947969).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) 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 (48).

Its product of digits (435456) is a multiple of the sum of its prime divisors (162).

It is not an unprimeable number, because it can be changed into a prime (14947967) 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, 180055 + ... + 180137.

It is an arithmetic number, because the mean of its divisors is an integer number (364140).

Almost surely, 2^14947968 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 14947968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23304960).

14947968 is an abundant number, since it is smaller than the sum of its proper divisors (31661952).

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

14947968 is an equidigital number, since it uses as much as digits as its factorization.

14947968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 162 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 14947968 is about 3866.2602085219. The cubic root of 14947968 is about 246.3357171939.

The spelling of 14947968 in words is "fourteen million, nine hundred forty-seven thousand, nine hundred sixty-eight".