261593260 has 48 divisors (see below), whose sum is σ = 575580096. Its totient is φ = 99677952.

The previous prime is 261593257. The next prime is 261593281. The reversal of 261593260 is 62395162.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126394 + ... + 128446.

It is an arithmetic number, because the mean of its divisors is an integer number (11991252).

Almost surely, 2^261593260 is an apocalyptic number.

261593260 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 261593260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287790048).

261593260 is an abundant number, since it is smaller than the sum of its proper divisors (313986836).

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

261593260 is a wasteful number, since it uses less digits than its factorization.

261593260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2362 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 261593260 is about 16173.8449355742. The cubic root of 261593260 is about 639.5514924030.

The spelling of 261593260 in words is "two hundred sixty-one million, five hundred ninety-three thousand, two hundred sixty".