260647200 has 288 divisors, whose sum is σ = 1029309120. Its totient is φ = 63129600.

The previous prime is 260647199. The next prime is 260647217. The reversal of 260647200 is 2746062.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 237052 + ... + 238148.

It is an arithmetic number, because the mean of its divisors is an integer number (3573990).

Almost surely, 2^260647200 is an apocalyptic number.

260647200 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 260647200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514654560).

260647200 is an abundant number, since it is smaller than the sum of its proper divisors (768661920).

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

260647200 is a wasteful number, since it uses less digits than its factorization.

260647200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 260647200 is about 16144.5718431924. The cubic root of 260647200 is about 638.7795752764.

The spelling of 260647200 in words is "two hundred sixty million, six hundred forty-seven thousand, two hundred".