260096000 has 120 divisors (see below), whose sum is σ = 654291456. Its totient is φ = 103219200.

The previous prime is 260095993. The next prime is 260096017. The reversal of 260096000 is 690062.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2047937 + ... + 2048063.

Almost surely, 2^260096000 is an apocalyptic number.

260096000 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 260096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327145728).

260096000 is an abundant number, since it is smaller than the sum of its proper divisors (394195456).

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

260096000 is an frugal number, since it uses more digits than its factorization.

260096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 260096000 is about 16127.4920554933. The cubic root of 260096000 is about 638.3289741189.

The spelling of 260096000 in words is "two hundred sixty million, ninety-six thousand".