261230580 has 72 divisors (see below), whose sum is σ = 853360872. Its totient is φ = 64302336.

The previous prime is 261230561. The next prime is 261230581. The reversal of 261230580 is 85032162.

261230580 is a `hidden beast` number, since 2 + 61 + 23 + 0 + 580 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 58339044 + 202891536 = 7638^2 + 14244^2 .

It is a super-3 number, since 3×261230580³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261230581) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53479 + ... + 58158.

Almost surely, 2^261230580 is an apocalyptic number.

261230580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261230580 is an abundant number, since it is smaller than the sum of its proper divisors (592130292).

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

261230580 is a wasteful number, since it uses less digits than its factorization.

261230580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111665 (or 111660 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 261230580 is about 16162.6291178137. The cubic root of 261230580 is about 639.2557918525.

The spelling of 261230580 in words is "two hundred sixty-one million, two hundred thirty thousand, five hundred eighty".