14853768 has 64 divisors (see below), whose sum is σ = 39398400. Its totient is φ = 4656960.

The previous prime is 14853731. The next prime is 14853779. The reversal of 14853768 is 86735841.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39003 + ... + 39381.

It is an arithmetic number, because the mean of its divisors is an integer number (615600).

Almost surely, 2^14853768 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 14853768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19699200).

14853768 is an abundant number, since it is smaller than the sum of its proper divisors (24544632).

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

14853768 is a wasteful number, since it uses less digits than its factorization.

14853768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 478 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 14853768 is about 3854.0586399275. The cubic root of 14853768 is about 245.8171686649.

It can be divided in two parts, 1485 and 3768, that added together give a triangular number (5253 = T₁₀₂).

The spelling of 14853768 in words is "fourteen million, eight hundred fifty-three thousand, seven hundred sixty-eight".