259296768 has 80 divisors (see below), whose sum is σ = 767577360. Its totient is φ = 86427648.

The previous prime is 259296761. The next prime is 259296797. The reversal of 259296768 is 867692952.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259296761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4446 + ... + 23202.

It is an arithmetic number, because the mean of its divisors is an integer number (9594717).

Almost surely, 2^259296768 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 259296768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383788680).

259296768 is an abundant number, since it is smaller than the sum of its proper divisors (508280592).

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

259296768 is an equidigital number, since it uses as much as digits as its factorization.

259296768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18784 (or 18762 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 259296768 is about 16102.6944329202. The cubic root of 259296768 is about 637.6744768107.

The spelling of 259296768 in words is "two hundred fifty-nine million, two hundred ninety-six thousand, seven hundred sixty-eight".