258816096 has 216 divisors, whose sum is σ = 925443792. Its totient is φ = 67161600.

The previous prime is 258816091. The next prime is 258816139. The reversal of 258816096 is 690618852.

258816096 is a `hidden beast` number, since 2 + 588 + 1 + 60 + 9 + 6 = 666.

258816096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258816091) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 243406 + ... + 244466.

It is an arithmetic number, because the mean of its divisors is an integer number (4284462).

Almost surely, 2^258816096 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 258816096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462721896).

258816096 is an abundant number, since it is smaller than the sum of its proper divisors (666627696).

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

258816096 is a wasteful number, since it uses less digits than its factorization.

258816096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 258816096 is about 16087.7623055539. The cubic root of 258816096 is about 637.2802028892.

The spelling of 258816096 in words is "two hundred fifty-eight million, eight hundred sixteen thousand, ninety-six".