260759856 has 80 divisors (see below), whose sum is σ = 777164544. Its totient is φ = 73796352.

The previous prime is 260759843. The next prime is 260759867. The reversal of 260759856 is 658957062.

It is a happy number.

It is a super-2 number, since 2×260759856² = 135991405002281472, which contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32326 + ... + 39578.

Almost surely, 2^260759856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260759856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388582272).

260759856 is an abundant number, since it is smaller than the sum of its proper divisors (516404688).

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

260759856 is a wasteful number, since it uses less digits than its factorization.

260759856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7378 (or 7372 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The square root of 260759856 is about 16148.0604408084. The cubic root of 260759856 is about 638.8715923613.

The spelling of 260759856 in words is "two hundred sixty million, seven hundred fifty-nine thousand, eight hundred fifty-six".