14876768 has 96 divisors (see below), whose sum is σ = 34292160. Its totient is φ = 6307840.

The previous prime is 14876767. The next prime is 14876773. The reversal of 14876768 is 86767841.

It is a super-2 number, since 2×14876768² = 442636452251648, which contains 22 as substring.

Its product of digits (451584) is a multiple of the sum of its prime divisors (112).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14876761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 362828 + ... + 362868.

It is an arithmetic number, because the mean of its divisors is an integer number (357210).

Almost surely, 2^14876768 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 14876768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17146080).

14876768 is an abundant number, since it is smaller than the sum of its proper divisors (19415392).

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

14876768 is a wasteful number, since it uses less digits than its factorization.

14876768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 112 counting only the distinct ones).

The product of its digits is 451584, while the sum is 47.

The square root of 14876768 is about 3857.0413531618. The cubic root of 14876768 is about 245.9439800172.

The spelling of 14876768 in words is "fourteen million, eight hundred seventy-six thousand, seven hundred sixty-eight".