260663040 has 432 divisors, whose sum is σ = 1050338016. Its totient is φ = 59473920.

The previous prime is 260663017. The next prime is 260663041. The reversal of 260663040 is 40366062.

260663040 is a `hidden beast` number, since 26 + 0 + 6 + 630 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 260662995 and 260663013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260663041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15333112 + ... + 15333128.

It is an arithmetic number, because the mean of its divisors is an integer number (2431338).

Almost surely, 2^260663040 is an apocalyptic number.

260663040 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 260663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525169008).

260663040 is an abundant number, since it is smaller than the sum of its proper divisors (789674976).

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

260663040 is a wasteful number, since it uses less digits than its factorization.

260663040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 260663040 is about 16145.0624031002. The cubic root of 260663040 is about 638.7925149429.

The spelling of 260663040 in words is "two hundred sixty million, six hundred sixty-three thousand, forty".