261127560 has 64 divisors (see below), whose sum is σ = 787553280. Its totient is φ = 69263360.

The previous prime is 261127553. The next prime is 261127561. The reversal of 261127560 is 65721162.

261127560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (261127561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17224 + ... + 28616.

It is an arithmetic number, because the mean of its divisors is an integer number (12305520).

Almost surely, 2^261127560 is an apocalyptic number.

261127560 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 261127560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393776640).

261127560 is an abundant number, since it is smaller than the sum of its proper divisors (526425720).

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

261127560 is a wasteful number, since it uses less digits than its factorization.

261127560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11598 (or 11594 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 261127560 is about 16159.4418220432. The cubic root of 261127560 is about 639.1717475946.

The spelling of 261127560 in words is "two hundred sixty-one million, one hundred twenty-seven thousand, five hundred sixty".