260165000 has 80 divisors (see below), whose sum is σ = 620285820. Its totient is φ = 102240000.

The previous prime is 260164999. The next prime is 260165021. The reversal of 260165000 is 561062.

It can be written as a sum of positive squares in 10 ways, for example, as 148693636 + 111471364 = 12194^2 + 10558^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 304574 + ... + 305426.

Almost surely, 2^260165000 is an apocalyptic number.

260165000 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 260165000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310142910).

260165000 is an abundant number, since it is smaller than the sum of its proper divisors (360120820).

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

260165000 is an equidigital number, since it uses as much as digits as its factorization.

260165000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 260165000 is about 16129.6311179146. The cubic root of 260165000 is about 638.3854158493.

The spelling of 260165000 in words is "two hundred sixty million, one hundred sixty-five thousand".