14964768 has 144 divisors (see below), whose sum is σ = 52468416. Its totient is φ = 3939840.

The previous prime is 14964749. The next prime is 14964773. The reversal of 14964768 is 86746941.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25923 + ... + 26493.

It is an arithmetic number, because the mean of its divisors is an integer number (364364).

Almost surely, 2^14964768 is an apocalyptic number.

14964768 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 14964768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26234208).

14964768 is an abundant number, since it is smaller than the sum of its proper divisors (37503648).

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

14964768 is a wasteful number, since it uses less digits than its factorization.

14964768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 596 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 14964768 is about 3868.4322405853. The cubic root of 14964768 is about 246.4279680965.

The spelling of 14964768 in words is "fourteen million, nine hundred sixty-four thousand, seven hundred sixty-eight".