259006080 has 128 divisors (see below), whose sum is σ = 830263680. Its totient is φ = 68677632.

The previous prime is 259006051. The next prime is 259006091. The reversal of 259006080 is 80600952.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 531597 + ... + 532083.

It is an arithmetic number, because the mean of its divisors is an integer number (6486435).

Almost surely, 2^259006080 is an apocalyptic number.

259006080 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 259006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415131840).

259006080 is an abundant number, since it is smaller than the sum of its proper divisors (571257600).

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

259006080 is a wasteful number, since it uses less digits than its factorization.

259006080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 259006080 is about 16093.6658347314. The cubic root of 259006080 is about 637.4360966318.

The spelling of 259006080 in words is "two hundred fifty-nine million, six thousand, eighty".