260536000 has 112 divisors (see below), whose sum is σ = 668060640. Its totient is φ = 100531200.

The previous prime is 260535959. The next prime is 260536009. The reversal of 260536000 is 635062.

It is not an unprimeable number, because it can be changed into a prime (260536009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231439 + ... + 232561.

Almost surely, 2^260536000 is an apocalyptic number.

260536000 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 260536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334030320).

260536000 is an abundant number, since it is smaller than the sum of its proper divisors (407524640).

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

260536000 is a wasteful number, since it uses less digits than its factorization.

260536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 260536000 is about 16141.1275938207. The cubic root of 260536000 is about 638.6887214420.

The spelling of 260536000 in words is "two hundred sixty million, five hundred thirty-six thousand".