260563968 has 198 divisors, whose sum is σ = 876726006. Its totient is φ = 74317824.

The previous prime is 260563957. The next prime is 260563969. The reversal of 260563968 is 869365062.

It is a happy number.

260563968 is a `hidden beast` number, since 2 + 6 + 0 + 5 + 639 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 260112384 + 451584 = 16128^2 + 672^2 .

It is not an unprimeable number, because it can be changed into a prime (260563969) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 451296 + ... + 451872.

Almost surely, 2^260563968 is an apocalyptic number.

260563968 is a gapful number since it is divisible by the number (28) 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 260563968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438363003).

260563968 is an abundant number, since it is smaller than the sum of its proper divisors (616162038).

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

260563968 is a wasteful number, since it uses less digits than its factorization.

260563968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 260563968 is about 16141.9939288800. The cubic root of 260563968 is about 638.7115745947.

The spelling of 260563968 in words is "two hundred sixty million, five hundred sixty-three thousand, nine hundred sixty-eight".