258578568 has 80 divisors (see below), whose sum is σ = 766895580. Its totient is φ = 81119232.

The previous prime is 258578563. The next prime is 258578597. The reversal of 258578568 is 865875852.

It is a happy number.

258578568 is a `hidden beast` number, since 2 + 5 + 8 + 5 + 78 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 201696804 + 56881764 = 14202^2 + 7542^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (258578561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 721 + ... + 22752.

Almost surely, 2^258578568 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 258578568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383447790).

258578568 is an abundant number, since it is smaller than the sum of its proper divisors (508317012).

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

258578568 is a wasteful number, since it uses less digits than its factorization.

258578568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23508 (or 23495 counting only the distinct ones).

The product of its digits is 5376000, while the sum is 54.

The square root of 258578568 is about 16080.3783537577. The cubic root of 258578568 is about 637.0851889712.

The spelling of 258578568 in words is "two hundred fifty-eight million, five hundred seventy-eight thousand, five hundred sixty-eight".