260165752 has 64 divisors (see below), whose sum is σ = 612426240. Its totient is φ = 100656000.

The previous prime is 260165749. The next prime is 260165753. The reversal of 260165752 is 257561062.

260165752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260165753) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 91618 + ... + 94414.

It is an arithmetic number, because the mean of its divisors is an integer number (9569160).

Almost surely, 2^260165752 is an apocalyptic number.

260165752 is a gapful number since it is divisible by the number (22) 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 260165752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306213120).

260165752 is an abundant number, since it is smaller than the sum of its proper divisors (352260488).

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

260165752 is a wasteful number, since it uses less digits than its factorization.

260165752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2972 (or 2968 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 260165752 is about 16129.6544290323. The cubic root of 260165752 is about 638.3860309274.

The spelling of 260165752 in words is "two hundred sixty million, one hundred sixty-five thousand, seven hundred fifty-two".