58005800 has 96 divisors (see below), whose sum is σ = 142457400. Its totient is φ = 21934080.

The previous prime is 58005781. The next prime is 58005809. The reversal of 58005800 is 850085.

It can be written as a sum of positive squares in 12 ways, for example, as 6482116 + 51523684 = 2546^2 + 7178^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 58005800.

It is not an unprimeable number, because it can be changed into a prime (58005809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 423332 + ... + 423468.

Almost surely, 2^58005800 is an apocalyptic number.

58005800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58005800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71228700).

58005800 is an abundant number, since it is smaller than the sum of its proper divisors (84451600).

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

58005800 is a wasteful number, since it uses less digits than its factorization.

58005800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 58005800 is about 7616.1538850000. The cubic root of 58005800 is about 387.1005665548.

Adding to 58005800 its reverse (850085), we get a palindrome (58855885).

The spelling of 58005800 in words is "fifty-eight million, five thousand, eight hundred".