261134240 has 48 divisors (see below), whose sum is σ = 617925672. Its totient is φ = 104285184.

The previous prime is 261134239. The next prime is 261134267. The reversal of 261134240 is 42431162.

It can be written as a sum of positive squares in 4 ways, for example, as 185722384 + 75411856 = 13628^2 + 8684^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158702 + ... + 160338.

Almost surely, 2^261134240 is an apocalyptic number.

261134240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261134240 is an abundant number, since it is smaller than the sum of its proper divisors (356791432).

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

261134240 is a wasteful number, since it uses less digits than its factorization.

261134240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2649 (or 2641 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 261134240 is about 16159.6485110289. The cubic root of 261134240 is about 639.1771978439.

The spelling of 261134240 in words is "two hundred sixty-one million, one hundred thirty-four thousand, two hundred forty".