260541080 has 32 divisors (see below), whose sum is σ = 586686240. Its totient is φ = 104133120.

The previous prime is 260541059. The next prime is 260541089. The reversal of 260541080 is 80145062.

260541080 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×260541080³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260541089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81920 + ... + 85040.

It is an arithmetic number, because the mean of its divisors is an integer number (18333945).

Almost surely, 2^260541080 is an apocalyptic number.

260541080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

260541080 is an abundant number, since it is smaller than the sum of its proper divisors (326145160).

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

260541080 is a wasteful number, since it uses less digits than its factorization.

260541080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5219 (or 5215 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 260541080 is about 16141.2849550462. The cubic root of 260541080 is about 638.6928725223.

The spelling of 260541080 in words is "two hundred sixty million, five hundred forty-one thousand, eighty".