260871000 has 128 divisors (see below), whose sum is σ = 876657600. Its totient is φ = 64204800.

The previous prime is 260870993. The next prime is 260871011. The reversal of 260871000 is 178062.

260871000 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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35656 + ... + 42344.

Almost surely, 2^260871000 is an apocalyptic number.

260871000 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 260871000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438328800).

260871000 is an abundant number, since it is smaller than the sum of its proper divisors (615786600).

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

260871000 is a wasteful number, since it uses less digits than its factorization.

260871000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6726 (or 6712 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 260871000 is about 16151.5014781908. The cubic root of 260871000 is about 638.9623484811.

The spelling of 260871000 in words is "two hundred sixty million, eight hundred seventy-one thousand".