261540968 has 64 divisors (see below), whose sum is σ = 548251200. Its totient is φ = 116190720.

The previous prime is 261540941. The next prime is 261540991. The reversal of 261540968 is 869045162.

It is a happy number.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (41).

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, 353543 + ... + 354281.

It is an arithmetic number, because the mean of its divisors is an integer number (8566425).

Almost surely, 2^261540968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261540968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274125600).

261540968 is an abundant number, since it is smaller than the sum of its proper divisors (286710232).

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

261540968 is a wasteful number, since it uses less digits than its factorization.

261540968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 261540968 is about 16172.2282942086. The cubic root of 261540968 is about 639.5088745169.

The spelling of 261540968 in words is "two hundred sixty-one million, five hundred forty thousand, nine hundred sixty-eight".