14883984 has 60 divisors (see below), whose sum is σ = 42687372. Its totient is φ = 4838400.

The previous prime is 14883949. The next prime is 14883991. The reversal of 14883984 is 48938841.

It can be written as a sum of positive squares in 2 ways, for example, as 230400 + 14653584 = 480^2 + 3828^2 .

It is a super-4 number, since 4×14883984⁴ (a number of 30 digits) contains 4444 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4644 + ... + 7164.

Almost surely, 2^14883984 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 14883984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21343686).

14883984 is an abundant number, since it is smaller than the sum of its proper divisors (27803388).

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

14883984 is a wasteful number, since it uses less digits than its factorization.

14883984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2576 (or 2567 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 14883984 is about 3857.9766717802. The cubic root of 14883984 is about 245.9837387625.

The spelling of 14883984 in words is "fourteen million, eight hundred eighty-three thousand, nine hundred eighty-four".