260516736 has 80 divisors (see below), whose sum is σ = 775324440. Its totient is φ = 86835456.

The previous prime is 260516713. The next prime is 260516743. The reversal of 260516736 is 637615062.

260516736 is a `hidden beast` number, since 2 + 605 + 16 + 7 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 260516736.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2196 + ... + 22931.

Almost surely, 2^260516736 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 260516736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387662220).

260516736 is an abundant number, since it is smaller than the sum of its proper divisors (514807704).

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

260516736 is an equidigital number, since it uses as much as digits as its factorization.

260516736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25153 (or 25132 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 260516736 is about 16140.5308462888. The cubic root of 260516736 is about 638.6729795320.

The spelling of 260516736 in words is "two hundred sixty million, five hundred sixteen thousand, seven hundred thirty-six".