261271170 has 96 divisors (see below), whose sum is σ = 713905920. Its totient is φ = 68739840.

The previous prime is 261271163. The next prime is 261271183. The reversal of 261271170 is 71172162.

261271170 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-3 number, since 3×261271170³ (a number of 26 digits) contains 333 as substring.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191290 + ... + 192650.

It is an arithmetic number, because the mean of its divisors is an integer number (7436520).

Almost surely, 2^261271170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261271170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356952960).

261271170 is an abundant number, since it is smaller than the sum of its proper divisors (452634750).

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

261271170 is a wasteful number, since it uses less digits than its factorization.

261271170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 261271170 is about 16163.8847434644. The cubic root of 261271170 is about 639.2888993200.

The spelling of 261271170 in words is "two hundred sixty-one million, two hundred seventy-one thousand, one hundred seventy".