54384020 has 54 divisors (see below), whose sum is σ = 122583258. Its totient is φ = 20262912.

The previous prime is 54383993. The next prime is 54384041. The reversal of 54384020 is 2048345.

It can be written as a sum of positive squares in 9 ways, for example, as 2572816 + 51811204 = 1604^2 + 7198^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 560612 + ... + 560708.

Almost surely, 2^54384020 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 54384020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61291629).

54384020 is an abundant number, since it is smaller than the sum of its proper divisors (68199238).

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

54384020 is a wasteful number, since it uses less digits than its factorization.

54384020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 54384020 is about 7374.5521897943. The cubic root of 54384020 is about 378.8701899016.

The spelling of 54384020 in words is "fifty-four million, three hundred eighty-four thousand, twenty".