258989696 has 128 divisors (see below), whose sum is σ = 638928000. Its totient is φ = 104165376.

The previous prime is 258989681. The next prime is 258989701. The reversal of 258989696 is 696989852.

It is a tau number, because it is divible by the number of its divisors (128).

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 746195 + ... + 746541.

It is an arithmetic number, because the mean of its divisors is an integer number (4991625).

Almost surely, 2^258989696 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 258989696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319464000).

258989696 is an abundant number, since it is smaller than the sum of its proper divisors (379938304).

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

258989696 is an equidigital number, since it uses as much as digits as its factorization.

258989696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 373 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 62.

The square root of 258989696 is about 16093.1568065436. The cubic root of 258989696 is about 637.4226555403.

The spelling of 258989696 in words is "two hundred fifty-eight million, nine hundred eighty-nine thousand, six hundred ninety-six".