259616896 has 192 divisors, whose sum is σ = 678144960. Its totient is φ = 97843200.

The previous prime is 259616887. The next prime is 259616899. The reversal of 259616896 is 698616952.

259616896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (1399680) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259616899) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3656541 + ... + 3656611.

It is an arithmetic number, because the mean of its divisors is an integer number (3532005).

Almost surely, 2^259616896 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 259616896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339072480).

259616896 is an abundant number, since it is smaller than the sum of its proper divisors (418528064).

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

259616896 is a wasteful number, since it uses less digits than its factorization.

259616896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 144 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 52.

The square root of 259616896 is about 16112.6315665691. The cubic root of 259616896 is about 637.9367933636.

The spelling of 259616896 in words is "two hundred fifty-nine million, six hundred sixteen thousand, eight hundred ninety-six".