261471808 has 56 divisors (see below), whose sum is σ = 563270400. Its totient is φ = 119708160.

The previous prime is 261471799. The next prime is 261471809. The reversal of 261471808 is 808174162.

It is not an unprimeable number, because it can be changed into a prime (261471809) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107793 + ... + 110191.

It is an arithmetic number, because the mean of its divisors is an integer number (10058400).

Almost surely, 2^261471808 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 261471808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281635200).

261471808 is an abundant number, since it is smaller than the sum of its proper divisors (301798592).

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

261471808 is a wasteful number, since it uses less digits than its factorization.

261471808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555 (or 2545 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 261471808 is about 16170.0899193542. The cubic root of 261471808 is about 639.4525005153.

The spelling of 261471808 in words is "two hundred sixty-one million, four hundred seventy-one thousand, eight hundred eight".