260788864 has 128 divisors (see below), whose sum is σ = 630604800. Its totient is φ = 105062400.

The previous prime is 260788861. The next prime is 260788867. The reversal of 260788864 is 468887062.

It is an interprime number because it is at equal distance from previous prime (260788861) and next prime (260788867).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (260788861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1138702 + ... + 1138930.

It is an arithmetic number, because the mean of its divisors is an integer number (4926600).

Almost surely, 2^260788864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260788864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315302400).

260788864 is an abundant number, since it is smaller than the sum of its proper divisors (369815936).

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

260788864 is a wasteful number, since it uses less digits than its factorization.

260788864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 49.

The square root of 260788864 is about 16148.9586041949. The cubic root of 260788864 is about 638.8952817183.

The spelling of 260788864 in words is "two hundred sixty million, seven hundred eighty-eight thousand, eight hundred sixty-four".