260116800 has 168 divisors, whose sum is σ = 872313216. Its totient is φ = 67829760.

The previous prime is 260116777. The next prime is 260116841. The reversal of 260116800 is 8611062.

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 23 ways as a sum of consecutive naturals, for example, 225024 + ... + 226176.

Almost surely, 2^260116800 is an apocalyptic number.

260116800 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 260116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436156608).

260116800 is an abundant number, since it is smaller than the sum of its proper divisors (612196416).

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

260116800 is a wasteful number, since it uses less digits than its factorization.

260116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1210 counting only the distinct ones).

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

The square root of 260116800 is about 16128.1369041808. The cubic root of 260116800 is about 638.3459894885.

Adding to 260116800 its reverse (8611062), we get a palindrome (268727862).

The spelling of 260116800 in words is "two hundred sixty million, one hundred sixteen thousand, eight hundred".