14848000 has 104 divisors (see below), whose sum is σ = 38333880. Its totient is φ = 5734400.

The previous prime is 14847967. The next prime is 14848007. The reversal of 14848000 is 84841.

It can be written as a sum of positive squares in 4 ways, for example, as 589824 + 14258176 = 768^2 + 3776^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14848007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 511986 + ... + 512014.

It is an arithmetic number, because the mean of its divisors is an integer number (368595).

Almost surely, 2^14848000 is an apocalyptic number.

14848000 is a gapful number since it is divisible by the number (10) 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 14848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19166940).

14848000 is an abundant number, since it is smaller than the sum of its proper divisors (23485880).

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

14848000 is an frugal number, since it uses more digits than its factorization.

14848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 14848000 is about 3853.3102652135. The cubic root of 14848000 is about 245.7853460549.

The spelling of 14848000 in words is "fourteen million, eight hundred forty-eight thousand".