261701118 has 80 divisors (see below), whose sum is σ = 677967840. Its totient is φ = 73903104.

The previous prime is 261701113. The next prime is 261701147. The reversal of 261701118 is 811107162.

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

It is a junction number, because it is equal to n+sod(n) for n = 261701091 and 261701100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261701113) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 99630 + ... + 102222.

It is an arithmetic number, because the mean of its divisors is an integer number (8474598).

Almost surely, 2^261701118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261701118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338983920).

261701118 is an abundant number, since it is smaller than the sum of its proper divisors (416266722).

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

261701118 is a wasteful number, since it uses less digits than its factorization.

261701118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2703 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The square root of 261701118 is about 16177.1789258820. The cubic root of 261701118 is about 639.6393785442.

The spelling of 261701118 in words is "two hundred sixty-one million, seven hundred one thousand, one hundred eighteen".