261232140 has 96 divisors (see below), whose sum is σ = 829221120. Its totient is φ = 60915456.

The previous prime is 261232093. The next prime is 261232141. The reversal of 261232140 is 41232162.

261232140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (261232141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6007 + ... + 23633.

It is an arithmetic number, because the mean of its divisors is an integer number (8637720).

Almost surely, 2^261232140 is an apocalyptic number.

261232140 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 261232140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414610560).

261232140 is an abundant number, since it is smaller than the sum of its proper divisors (567988980).

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

261232140 is a wasteful number, since it uses less digits than its factorization.

261232140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17671 (or 17669 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 261232140 is about 16162.6773772169. The cubic root of 261232140 is about 639.2570643388.

The spelling of 261232140 in words is "two hundred sixty-one million, two hundred thirty-two thousand, one hundred forty".