260512000 has 144 divisors (see below), whose sum is σ = 742315392. Its totient is φ = 89241600.

The previous prime is 260511997. The next prime is 260512001. The reversal of 260512000 is 215062.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (260512001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223419 + ... + 224581.

It is an arithmetic number, because the mean of its divisors is an integer number (5154968).

Almost surely, 2^260512000 is an apocalyptic number.

260512000 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 260512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371157696).

260512000 is an abundant number, since it is smaller than the sum of its proper divisors (481803392).

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

260512000 is an equidigital number, since it uses as much as digits as its factorization.

260512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 260512000 is about 16140.3841342144. The cubic root of 260512000 is about 638.6691093090.

Adding to 260512000 its reverse (215062), we get a palindrome (260727062).

The spelling of 260512000 in words is "two hundred sixty million, five hundred twelve thousand".