260771760 has 120 divisors (see below), whose sum is σ = 879010704. Its totient is φ = 69281280.

The previous prime is 260771759. The next prime is 260771761. The reversal of 260771760 is 67177062.

It is an interprime number because it is at equal distance from previous prime (260771759) and next prime (260771761).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (260771761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268075 + ... + 269045.

Almost surely, 2^260771760 is an apocalyptic number.

260771760 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 260771760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439505352).

260771760 is an abundant number, since it is smaller than the sum of its proper divisors (618238944).

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

260771760 is a wasteful number, since it uses less digits than its factorization.

260771760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 260771760 is about 16148.4290257598. The cubic root of 260771760 is about 638.8813139647.

The spelling of 260771760 in words is "two hundred sixty million, seven hundred seventy-one thousand, seven hundred sixty".