54005984 has 48 divisors (see below), whose sum is σ = 109836720. Its totient is φ = 26127360.

The previous prime is 54005971. The next prime is 54006019. The reversal of 54005984 is 48950045.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142307 + ... + 142685.

It is an arithmetic number, because the mean of its divisors is an integer number (2288265).

Almost surely, 2^54005984 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 54005984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54918360).

54005984 is an abundant number, since it is smaller than the sum of its proper divisors (55830736).

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

54005984 is a wasteful number, since it uses less digits than its factorization.

54005984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 54005984 is about 7348.8763766987. The cubic root of 54005984 is about 377.9902762446.

The spelling of 54005984 in words is "fifty-four million, five thousand, nine hundred eighty-four".