259980960 has 96 divisors (see below), whose sum is σ = 854582400. Its totient is φ = 66311168.

The previous prime is 259980947. The next prime is 259980989. The reversal of 259980960 is 69089952.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 735 + ... + 22814.

It is an arithmetic number, because the mean of its divisors is an integer number (8901900).

Almost surely, 2^259980960 is an apocalyptic number.

259980960 is a gapful number since it is divisible by the number (20) 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 259980960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427291200).

259980960 is an abundant number, since it is smaller than the sum of its proper divisors (594601440).

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

259980960 is a wasteful number, since it uses less digits than its factorization.

259980960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23590 (or 23582 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The square root of 259980960 is about 16123.9250804511. The cubic root of 259980960 is about 638.2348496490.

The spelling of 259980960 in words is "two hundred fifty-nine million, nine hundred eighty thousand, nine hundred sixty".