260811600 has 240 divisors, whose sum is σ = 972378240. Its totient is φ = 58521600.

The previous prime is 260811599. The next prime is 260811643. The reversal of 260811600 is 6118062.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 512146 + ... + 512654.

It is an arithmetic number, because the mean of its divisors is an integer number (4051576).

Almost surely, 2^260811600 is an apocalyptic number.

260811600 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 260811600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486189120).

260811600 is an abundant number, since it is smaller than the sum of its proper divisors (711566640).

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

260811600 is a wasteful number, since it uses less digits than its factorization.

260811600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 260811600 is about 16149.6625351739. The cubic root of 260811600 is about 638.9138478242.

Adding to 260811600 its reverse (6118062), we get a palindrome (266929662).

The spelling of 260811600 in words is "two hundred sixty million, eight hundred eleven thousand, six hundred".