54839824 has 60 divisors (see below), whose sum is σ = 121924116. Its totient is φ = 23801856.

The previous prime is 54839821. The next prime is 54839849. The reversal of 54839824 is 42893845.

It can be written as a sum of positive squares in 6 ways, for example, as 2999824 + 51840000 = 1732^2 + 7200^2 .

It is not an unprimeable number, because it can be changed into a prime (54839821) 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, 45372 + ... + 46564.

Almost surely, 2^54839824 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 54839824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60962058).

54839824 is an abundant number, since it is smaller than the sum of its proper divisors (67084292).

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

54839824 is a wasteful number, since it uses less digits than its factorization.

54839824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1225 counting only the distinct ones).

The product of its digits is 276480, while the sum is 43.

The square root of 54839824 is about 7405.3915494051. The cubic root of 54839824 is about 379.9257103158.

The spelling of 54839824 in words is "fifty-four million, eight hundred thirty-nine thousand, eight hundred twenty-four".