261264060 has 144 divisors (see below), whose sum is σ = 845644800. Its totient is φ = 65100672.

The previous prime is 261264053. The next prime is 261264077. The reversal of 261264060 is 60462162.

It is a happy number.

261264060 is a `hidden beast` number, since 2 + 6 + 12 + 640 + 6 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269697 + ... + 270663.

Almost surely, 2^261264060 is an apocalyptic number.

261264060 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 261264060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422822400).

261264060 is an abundant number, since it is smaller than the sum of its proper divisors (584380740).

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

261264060 is a wasteful number, since it uses less digits than its factorization.

261264060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 261264060 is about 16163.6648072150. The cubic root of 261264060 is about 639.2831002552.

The spelling of 261264060 in words is "two hundred sixty-one million, two hundred sixty-four thousand, sixty".