14800672 has 48 divisors (see below), whose sum is σ = 30958200. Its totient is φ = 6952960.

The previous prime is 14800657. The next prime is 14800679. The reversal of 14800672 is 27600841.

It can be written as a sum of positive squares in 4 ways, for example, as 7160976 + 7639696 = 2676^2 + 2764^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14800672.

It is not an unprimeable number, because it can be changed into a prime (14800679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37854 + ... + 38242.

Almost surely, 2^14800672 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 14800672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15479100).

14800672 is an abundant number, since it is smaller than the sum of its proper divisors (16157528).

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

14800672 is a wasteful number, since it uses less digits than its factorization.

14800672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 14800672 is about 3847.1641503840. The cubic root of 14800672 is about 245.5239211637.

The spelling of 14800672 in words is "fourteen million, eight hundred thousand, six hundred seventy-two".