259063680 has 128 divisors (see below), whose sum is σ = 874450080. Its totient is φ = 65011712.

The previous prime is 259063669. The next prime is 259063681. The reversal of 259063680 is 86360952.

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

It is a super-2 number, since 2×259063680² = 134227980590284800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259063681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28672 + ... + 36608.

Almost surely, 2^259063680 is an apocalyptic number.

259063680 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 259063680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437225040).

259063680 is an abundant number, since it is smaller than the sum of its proper divisors (615386400).

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

259063680 is a wasteful number, since it uses less digits than its factorization.

259063680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7976 (or 7964 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 259063680 is about 16095.4552591718. The cubic root of 259063680 is about 637.4833459702.

The spelling of 259063680 in words is "two hundred fifty-nine million, sixty-three thousand, six hundred eighty".