261054720 has 432 divisors, whose sum is σ = 1010161152. Its totient is φ = 61931520.

The previous prime is 261054719. The next prime is 261054743. The reversal of 261054720 is 27450162.

261054720 is a `hidden beast` number, since 2 + 610 + 5 + 47 + 2 + 0 = 666.

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, 6071019 + ... + 6071061.

It is an arithmetic number, because the mean of its divisors is an integer number (2338336).

Almost surely, 2^261054720 is an apocalyptic number.

261054720 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 261054720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505080576).

261054720 is an abundant number, since it is smaller than the sum of its proper divisors (749106432).

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

261054720 is a wasteful number, since it uses less digits than its factorization.

261054720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 261054720 is about 16157.1878741321. The cubic root of 261054720 is about 639.1123109988.

The spelling of 261054720 in words is "two hundred sixty-one million, fifty-four thousand, seven hundred twenty".