258679680 has 256 divisors, whose sum is σ = 992908800. Its totient is φ = 55959552.

The previous prime is 258679651. The next prime is 258679693. The reversal of 258679680 is 86976852.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 254854 + ... + 255866.

It is an arithmetic number, because the mean of its divisors is an integer number (3878550).

Almost surely, 2^258679680 is an apocalyptic number.

258679680 is a gapful number since it is divisible by the number (20) 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 258679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496454400).

258679680 is an abundant number, since it is smaller than the sum of its proper divisors (734229120).

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

258679680 is a wasteful number, since it uses less digits than its factorization.

258679680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The square root of 258679680 is about 16083.5220023476. The cubic root of 258679680 is about 637.1682179755.

The spelling of 258679680 in words is "two hundred fifty-eight million, six hundred seventy-nine thousand, six hundred eighty".