260746080 has 192 divisors, whose sum is σ = 952777728. Its totient is φ = 58705920.

The previous prime is 260746049. The next prime is 260746091. The reversal of 260746080 is 80647062.

260746080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 238014 + ... + 239106.

It is an arithmetic number, because the mean of its divisors is an integer number (4962384).

Almost surely, 2^260746080 is an apocalyptic number.

260746080 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 260746080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476388864).

260746080 is an abundant number, since it is smaller than the sum of its proper divisors (692031648).

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

260746080 is a wasteful number, since it uses less digits than its factorization.

260746080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 260746080 is about 16147.6338823990. The cubic root of 260746080 is about 638.8603415880.

The spelling of 260746080 in words is "two hundred sixty million, seven hundred forty-six thousand, eighty".