259628768 has 96 divisors (see below), whose sum is σ = 627056640. Its totient is φ = 103334400.

The previous prime is 259628737. The next prime is 259628771. The reversal of 259628768 is 867826952.

259628768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 16113²-1.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

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, 224993 + ... + 226143.

It is an arithmetic number, because the mean of its divisors is an integer number (6531840).

Almost surely, 2^259628768 is an apocalyptic number.

259628768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259628768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313528320).

259628768 is an abundant number, since it is smaller than the sum of its proper divisors (367427872).

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

259628768 is a wasteful number, since it uses less digits than its factorization.

259628768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1232 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 53.

The square root of 259628768 is about 16112.9999689692. Note that the first 4 decimals coincide. The cubic root of 259628768 is about 637.9465172687.

The spelling of 259628768 in words is "two hundred fifty-nine million, six hundred twenty-eight thousand, seven hundred sixty-eight".