260872320 has 128 divisors (see below), whose sum is σ = 842063040. Its totient is φ = 68685824.

The previous prime is 260872319. The next prime is 260872331. The reversal of 260872320 is 23278062.

260872320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158542 + ... + 160178.

Almost surely, 2^260872320 is an apocalyptic number.

260872320 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 260872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421031520).

260872320 is an abundant number, since it is smaller than the sum of its proper divisors (581190720).

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

260872320 is a wasteful number, since it uses less digits than its factorization.

260872320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 260872320 is about 16151.5423412131. The cubic root of 260872320 is about 638.9634261898.

The spelling of 260872320 in words is "two hundred sixty million, eight hundred seventy-two thousand, three hundred twenty".