14748768 has 72 divisors (see below), whose sum is σ = 42515928. Its totient is φ = 4849152.

The previous prime is 14748757. The next prime is 14748779. The reversal of 14748768 is 86784741.

It is an interprime number because it is at equal distance from previous prime (14748757) and next prime (14748779).

It is a tau number, because it is divible by the number of its divisors (72).

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, 23596 + ... + 24212.

It is an arithmetic number, because the mean of its divisors is an integer number (590499).

Almost surely, 2^14748768 is an apocalyptic number.

14748768 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 14748768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21257964).

14748768 is an abundant number, since it is smaller than the sum of its proper divisors (27767160).

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

14748768 is a wasteful number, since it uses less digits than its factorization.

14748768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 705 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 14748768 is about 3840.4124778466. The cubic root of 14748768 is about 245.2365783663.

The spelling of 14748768 in words is "fourteen million, seven hundred forty-eight thousand, seven hundred sixty-eight".