260275680 has 480 divisors, whose sum is σ = 1112348160. Its totient is φ = 55987200.

The previous prime is 260275669. The next prime is 260275753. The reversal of 260275680 is 86572062.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1723605 + ... + 1723755.

It is an arithmetic number, because the mean of its divisors is an integer number (2317392).

Almost surely, 2^260275680 is an apocalyptic number.

260275680 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 260275680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556174080).

260275680 is an abundant number, since it is smaller than the sum of its proper divisors (852072480).

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

260275680 is a wasteful number, since it uses less digits than its factorization.

260275680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 260275680 is about 16133.0617057024. The cubic root of 260275680 is about 638.4759308181.

The spelling of 260275680 in words is "two hundred sixty million, two hundred seventy-five thousand, six hundred eighty".