258216768 has 224 divisors, whose sum is σ = 811987200. Its totient is φ = 80289792.

The previous prime is 258216767. The next prime is 258216797. The reversal of 258216768 is 867612852.

258216768 = 94³ + 95³ + ... + 182³.

258216768 is a `hidden beast` number, since 2 + 582 + 1 + 6 + 7 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258216767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2901268 + ... + 2901356.

Almost surely, 2^258216768 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 258216768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405993600).

258216768 is an abundant number, since it is smaller than the sum of its proper divisors (553770432).

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

258216768 is a wasteful number, since it uses less digits than its factorization.

258216768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 190 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 258216768 is about 16069.1246805792. The cubic root of 258216768 is about 636.7879163216.

The spelling of 258216768 in words is "two hundred fifty-eight million, two hundred sixteen thousand, seven hundred sixty-eight".