258680058 has 192 divisors, whose sum is σ = 720679680. Its totient is φ = 59996160.

The previous prime is 258680047. The next prime is 258680083. The reversal of 258680058 is 850086852.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8344503 + ... + 8344533.

It is an arithmetic number, because the mean of its divisors is an integer number (3753540).

Almost surely, 2^258680058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258680058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360339840).

258680058 is an abundant number, since it is smaller than the sum of its proper divisors (461999622).

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

258680058 is a wasteful number, since it uses less digits than its factorization.

258680058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The square root of 258680058 is about 16083.5337535008. The cubic root of 258680058 is about 637.1685283329.

The spelling of 258680058 in words is "two hundred fifty-eight million, six hundred eighty thousand, fifty-eight".