260864208 has 120 divisors (see below), whose sum is σ = 818135136. Its totient is φ = 76896000.

The previous prime is 260864207. The next prime is 260864213. The reversal of 260864208 is 802468062.

260864208 is a `hidden beast` number, since 2 + 6 + 0 + 8 + 642 + 0 + 8 = 666.

260864208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260864203) 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, 56383 + ... + 60833.

Almost surely, 2^260864208 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 260864208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409067568).

260864208 is an abundant number, since it is smaller than the sum of its proper divisors (557270928).

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

260864208 is a wasteful number, since it uses less digits than its factorization.

260864208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4513 (or 4504 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 260864208 is about 16151.2912177324. The cubic root of 260864208 is about 638.9568031222.

It can be divided in two parts, 260 and 864208, that added together give a palindrome (864468).

The spelling of 260864208 in words is "two hundred sixty million, eight hundred sixty-four thousand, two hundred eight".