259886640 has 160 divisors (see below), whose sum is σ = 895942656. Its totient is φ = 61885440.

The previous prime is 259886639. The next prime is 259886651. The reversal of 259886640 is 46688952.

It is a happy number.

It is a Cunningham number, because it is equal to 16121²-1.

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

It is a self number, because there is not a number n which added to its sum of digits gives 259886640.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95377 + ... + 98063.

Almost surely, 2^259886640 is an apocalyptic number.

259886640 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 259886640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447971328).

259886640 is an abundant number, since it is smaller than the sum of its proper divisors (636056016).

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

259886640 is a wasteful number, since it uses less digits than its factorization.

259886640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2747 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 259886640 is about 16120.9999689846. Note that the first 4 decimals coincide. The cubic root of 259886640 is about 638.1576573393.

The spelling of 259886640 in words is "two hundred fifty-nine million, eight hundred eighty-six thousand, six hundred forty".