260642800 has 120 divisors (see below), whose sum is σ = 702022032. Its totient is φ = 92160000.

The previous prime is 260642773. The next prime is 260642801. The reversal of 260642800 is 8246062.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260642801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162000 + ... + 163600.

Almost surely, 2^260642800 is an apocalyptic number.

260642800 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 260642800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351011016).

260642800 is an abundant number, since it is smaller than the sum of its proper divisors (441379232).

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

260642800 is a wasteful number, since it uses less digits than its factorization.

260642800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 260642800 is about 16144.4355739060. The cubic root of 260642800 is about 638.7759808316.

Adding to 260642800 its reverse (8246062), we get a palindrome (268888862).

It can be divided in two parts, 260642 and 800, that multiplied together give a square (208513600 = 14440²).

The spelling of 260642800 in words is "two hundred sixty million, six hundred forty-two thousand, eight hundred".