260173008 has 120 divisors (see below), whose sum is σ = 749773440. Its totient is φ = 84188160.

The previous prime is 260172989. The next prime is 260173009. The reversal of 260173008 is 800371062.

260173008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×260173008³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260173009) 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, 959913 + ... + 960183.

It is an arithmetic number, because the mean of its divisors is an integer number (6248112).

Almost surely, 2^260173008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260173008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374886720).

260173008 is an abundant number, since it is smaller than the sum of its proper divisors (489600432).

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

260173008 is a wasteful number, since it uses less digits than its factorization.

260173008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 260173008 is about 16129.8793547875. The cubic root of 260173008 is about 638.3919657157.

The spelling of 260173008 in words is "two hundred sixty million, one hundred seventy-three thousand, eight".