14892768 has 96 divisors (see below), whose sum is σ = 47416320. Its totient is φ = 4510080.

The previous prime is 14892763. The next prime is 14892769. The reversal of 14892768 is 86729841.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14892763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8721 + ... + 10287.

It is an arithmetic number, because the mean of its divisors is an integer number (493920).

Almost surely, 2^14892768 is an apocalyptic number.

14892768 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 14892768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23708160).

14892768 is an abundant number, since it is smaller than the sum of its proper divisors (32523552).

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

14892768 is a wasteful number, since it uses less digits than its factorization.

14892768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1583 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 14892768 is about 3859.1149244354. The cubic root of 14892768 is about 246.0321195419.

The spelling of 14892768 in words is "fourteen million, eight hundred ninety-two thousand, seven hundred sixty-eight".