58839040 has 156 divisors (see below), whose sum is σ = 161886924. Its totient is φ = 20447232.

The previous prime is 58839013. The next prime is 58839073. The reversal of 58839040 is 4093885.

It can be written as a sum of positive squares in 6 ways, for example, as 5607424 + 53231616 = 2368^2 + 7296^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3461112 + ... + 3461128.

Almost surely, 2^58839040 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 58839040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80943462).

58839040 is an abundant number, since it is smaller than the sum of its proper divisors (103047884).

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

58839040 is a wasteful number, since it uses less digits than its factorization.

58839040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 58839040 is about 7670.6609884677. The cubic root of 58839040 is about 388.9452984234.

The spelling of 58839040 in words is "fifty-eight million, eight hundred thirty-nine thousand, forty".