14946768 has 100 divisors (see below), whose sum is σ = 45612160. Its totient is φ = 4712256.

The previous prime is 14946739. The next prime is 14946773. The reversal of 14946768 is 86764941.

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24321 + ... + 24927.

Almost surely, 2^14946768 is an apocalyptic number.

14946768 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 14946768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22806080).

14946768 is an abundant number, since it is smaller than the sum of its proper divisors (30665392).

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

14946768 is a wasteful number, since it uses less digits than its factorization.

14946768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 631 counting only the distinct ones).

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

The square root of 14946768 is about 3866.1050166802. The cubic root of 14946768 is about 246.3291251993.

The spelling of 14946768 in words is "fourteen million, nine hundred forty-six thousand, seven hundred sixty-eight".