258668564 has 48 divisors (see below), whose sum is σ = 577522176. Its totient is φ = 98431200.

The previous prime is 258668563. The next prime is 258668569. The reversal of 258668564 is 465866852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258668561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3479 + ... + 23009.

It is an arithmetic number, because the mean of its divisors is an integer number (12031712).

Almost surely, 2^258668564 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 258668564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288761088).

258668564 is an abundant number, since it is smaller than the sum of its proper divisors (318853612).

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

258668564 is a wasteful number, since it uses less digits than its factorization.

258668564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19596 (or 19594 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 50.

The square root of 258668564 is about 16083.1764275593. The cubic root of 258668564 is about 637.1590910334.

The spelling of 258668564 in words is "two hundred fifty-eight million, six hundred sixty-eight thousand, five hundred sixty-four".