260105760 has 72 divisors (see below), whose sum is σ = 887615820. Its totient is φ = 69361152.

The previous prime is 260105749. The next prime is 260105761. The reversal of 260105760 is 67501062.

260105760 is a `hidden beast` number, since 2 + 601 + 0 + 57 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 234824976 + 25280784 = 15324^2 + 5028^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (260105761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88875 + ... + 91754.

Almost surely, 2^260105760 is an apocalyptic number.

260105760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

260105760 is an abundant number, since it is smaller than the sum of its proper divisors (627510060).

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

260105760 is a wasteful number, since it uses less digits than its factorization.

260105760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180650 (or 180639 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 260105760 is about 16127.7946415497. The cubic root of 260105760 is about 638.3369583668.

It can be divided in two parts, 26010 and 5760, that multiplied together give a square (149817600 = 12240²).

The spelling of 260105760 in words is "two hundred sixty million, one hundred five thousand, seven hundred sixty".