260820000 has 600 divisors, whose sum is σ = 1143084096. Its totient is φ = 57024000.

The previous prime is 260819987. The next prime is 260820029. The reversal of 260820000 is 28062.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 99 ways as a sum of consecutive naturals, for example, 11339989 + ... + 11340011.

Almost surely, 2^260820000 is an apocalyptic number.

260820000 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 260820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571542048).

260820000 is an abundant number, since it is smaller than the sum of its proper divisors (882264096).

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

260820000 is an equidigital number, since it uses as much as digits as its factorization.

260820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 260820000 is about 16149.9226004337. The cubic root of 260820000 is about 638.9207069500.

Adding to 260820000 its reverse (28062), we get a palindrome (260848062).

The spelling of 260820000 in words is "two hundred sixty million, eight hundred twenty thousand".