260131200 has 384 divisors, whose sum is σ = 1011840000. Its totient is φ = 58705920.

The previous prime is 260131187. The next prime is 260131237. The reversal of 260131200 is 2131062.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 260131200.

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, 3292761 + ... + 3292839.

It is an arithmetic number, because the mean of its divisors is an integer number (2635000).

Almost surely, 2^260131200 is an apocalyptic number.

260131200 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 260131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505920000).

260131200 is an abundant number, since it is smaller than the sum of its proper divisors (751708800).

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

260131200 is an equidigital number, since it uses as much as digits as its factorization.

260131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 260131200 is about 16128.5833227844. The cubic root of 260131200 is about 638.3577688284.

Adding to 260131200 its reverse (2131062), we get a palindrome (262262262).

The spelling of 260131200 in words is "two hundred sixty million, one hundred thirty-one thousand, two hundred".