261163008 has 96 divisors (see below), whose sum is σ = 773791200. Its totient is φ = 87035904.

The previous prime is 261162997. The next prime is 261163033. The reversal of 261163008 is 800361162.

261163008 is a `hidden beast` number, since 26 + 1 + 1 + 630 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×261163008² = 136412233495216128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52935 + ... + 57657.

It is an arithmetic number, because the mean of its divisors is an integer number (8060325).

Almost surely, 2^261163008 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 261163008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386895600).

261163008 is an abundant number, since it is smaller than the sum of its proper divisors (512628192).

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

261163008 is an equidigital number, since it uses as much as digits as its factorization.

261163008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4754 (or 4728 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 261163008 is about 16160.5386048857. The cubic root of 261163008 is about 639.2006687535.

The spelling of 261163008 in words is "two hundred sixty-one million, one hundred sixty-three thousand, eight".