14884000 has 72 divisors (see below), whose sum is σ = 37179324. Its totient is φ = 5856000.

The previous prime is 14883991. The next prime is 14884003. The reversal of 14884000 is 48841.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 2521744 + 12362256 = 1588^2 + 3516^2 .

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

It is not an unprimeable number, because it can be changed into a prime (14884003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 243970 + ... + 244030.

Almost surely, 2^14884000 is an apocalyptic number.

14884000 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 14884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18589662).

14884000 is an abundant number, since it is smaller than the sum of its proper divisors (22295324).

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

14884000 is an frugal number, since it uses more digits than its factorization.

14884000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 68 counting only the distinct ones).

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

The square root of 14884000 is about 3857.9787454054. The cubic root of 14884000 is about 245.9838269051.

It can be divided in two parts, 148 and 84000, that added together give a palindrome (84148).

The spelling of 14884000 in words is "fourteen million, eight hundred eighty-four thousand".