260264760 has 128 divisors (see below), whose sum is σ = 903329280. Its totient is φ = 58756608.

The previous prime is 260264743. The next prime is 260264819. The reversal of 260264760 is 67462062.

260264760 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, 67854 + ... + 71586.

It is an arithmetic number, because the mean of its divisors is an integer number (7057260).

Almost surely, 2^260264760 is an apocalyptic number.

260264760 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 260264760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451664640).

260264760 is an abundant number, since it is smaller than the sum of its proper divisors (643064520).

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

260264760 is a wasteful number, since it uses less digits than its factorization.

260264760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3837 (or 3833 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 260264760 is about 16132.7232667024. The cubic root of 260264760 is about 638.4670014979.

The spelling of 260264760 in words is "two hundred sixty million, two hundred sixty-four thousand, seven hundred sixty".