260658160 has 80 divisors (see below), whose sum is σ = 696384000. Its totient is φ = 88881408.

The previous prime is 260658143. The next prime is 260658173. The reversal of 260658160 is 61856062.

260658160 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 (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110271 + ... + 112609.

It is an arithmetic number, because the mean of its divisors is an integer number (8704800).

Almost surely, 2^260658160 is an apocalyptic number.

260658160 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 260658160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348192000).

260658160 is an abundant number, since it is smaller than the sum of its proper divisors (435725840).

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

260658160 is a wasteful number, since it uses less digits than its factorization.

260658160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558 (or 2552 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 260658160 is about 16144.9112725961. The cubic root of 260658160 is about 638.7885285359.

It can be divided in two parts, 26065 and 8160, that added together give a square (34225 = 185²).

The spelling of 260658160 in words is "two hundred sixty million, six hundred fifty-eight thousand, one hundred sixty".