260079360 has 144 divisors (see below), whose sum is σ = 841065120. Its totient is φ = 68485120.

The previous prime is 260079329. The next prime is 260079361. The reversal of 260079360 is 63970062.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260079361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341380 + ... + 342140.

It is an arithmetic number, because the mean of its divisors is an integer number (5840730).

Almost surely, 2^260079360 is an apocalyptic number.

260079360 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 260079360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420532560).

260079360 is an abundant number, since it is smaller than the sum of its proper divisors (580985760).

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

260079360 is an equidigital number, since it uses as much as digits as its factorization.

260079360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 260079360 is about 16126.9761579783. The cubic root of 260079360 is about 638.3153611700.

The spelling of 260079360 in words is "two hundred sixty million, seventy-nine thousand, three hundred sixty".