260236800 has 300 divisors, whose sum is σ = 966992796. Its totient is φ = 69120000.

The previous prime is 260236793. The next prime is 260236811. The reversal of 260236800 is 8632062.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 1036675 + ... + 1036925.

Almost surely, 2^260236800 is an apocalyptic number.

260236800 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 260236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483496398).

260236800 is an abundant number, since it is smaller than the sum of its proper divisors (706755996).

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

260236800 is an equidigital number, since it uses as much as digits as its factorization.

260236800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 260236800 is about 16131.8566817338. The cubic root of 260236800 is about 638.4441373746. Note that the first 3 decimals are identical.

Adding to 260236800 its reverse (8632062), we get a palindrome (268868862).

It can be divided in two parts, 26023 and 6800, that added together give a palindrome (32823).

The spelling of 260236800 in words is "two hundred sixty million, two hundred thirty-six thousand, eight hundred".