261740160 has 512 divisors, whose sum is σ = 1083974400. Its totient is φ = 59719680.

The previous prime is 261740159. The next prime is 261740173. The reversal of 261740160 is 61047162.

261740160 is a `hidden beast` number, since 2 + 617 + 40 + 1 + 6 + 0 = 666.

261740160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×261740160² = 137015822713651200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15396472 + ... + 15396488.

Almost surely, 2^261740160 is an apocalyptic number.

261740160 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 261740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541987200).

261740160 is an abundant number, since it is smaller than the sum of its proper divisors (822234240).

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

261740160 is an equidigital number, since it uses as much as digits as its factorization.

261740160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 261740160 is about 16178.3855807679. The cubic root of 261740160 is about 639.6711852595.

The spelling of 261740160 in words is "two hundred sixty-one million, seven hundred forty thousand, one hundred sixty".