260516160 has 252 divisors, whose sum is σ = 954918588. Its totient is φ = 65175552.

The previous prime is 260516131. The next prime is 260516197. The reversal of 260516160 is 61615062.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4260096 + 256256064 = 2064^2 + 16008^2 .

It is a super-2 number, since 2×260516160² = 135737339242291200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 832164 + ... + 832476.

Almost surely, 2^260516160 is an apocalyptic number.

260516160 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 260516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477459294).

260516160 is an abundant number, since it is smaller than the sum of its proper divisors (694402428).

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

260516160 is a wasteful number, since it uses less digits than its factorization.

260516160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 260516160 is about 16140.5130029996. The cubic root of 260516160 is about 638.6725088317.

The spelling of 260516160 in words is "two hundred sixty million, five hundred sixteen thousand, one hundred sixty".