260641800 has 288 divisors, whose sum is σ = 942439680. Its totient is φ = 66873600.

The previous prime is 260641783. The next prime is 260641811. The reversal of 260641800 is 8146062.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1506514 + ... + 1506686.

It is an arithmetic number, because the mean of its divisors is an integer number (3272360).

Almost surely, 2^260641800 is an apocalyptic number.

260641800 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 260641800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471219840).

260641800 is an abundant number, since it is smaller than the sum of its proper divisors (681797880).

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

260641800 is a wasteful number, since it uses less digits than its factorization.

260641800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 260641800 is about 16144.4046034532. The cubic root of 260641800 is about 638.7751639067.

Adding to 260641800 its reverse (8146062), we get a palindrome (268787862).

The spelling of 260641800 in words is "two hundred sixty million, six hundred forty-one thousand, eight hundred".