260100000 has 324 divisors, whose sum is σ = 982097298. Its totient is φ = 65280000.

The previous prime is 260099999. The next prime is 260100007. The reversal of 260100000 is 1062.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 9 ways, for example, as 49617936 + 210482064 = 7044^2 + 14508^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (260100007) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 15299992 + ... + 15300008.

Almost surely, 2^260100000 is an apocalyptic number.

260100000 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 260100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491048649).

260100000 is an abundant number, since it is smaller than the sum of its proper divisors (721997298).

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

260100000 is an equidigital number, since it uses as much as digits as its factorization.

260100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 260100000 is about 16127.6160668587. The cubic root of 260100000 is about 638.3322463758.

Adding to 260100000 its reverse (1062), we get a palindrome (260101062).

The spelling of 260100000 in words is "two hundred sixty million, one hundred thousand".