261134208 has 96 divisors (see below), whose sum is σ = 754626600. Its totient is φ = 86676480.

The previous prime is 261134189. The next prime is 261134219. The reversal of 261134208 is 802431162.

261134208 is a `hidden beast` number, since 2 + 611 + 3 + 42 + 0 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 482418 + ... + 482958.

Almost surely, 2^261134208 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 261134208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377313300).

261134208 is an abundant number, since it is smaller than the sum of its proper divisors (493492392).

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

261134208 is a wasteful number, since it uses less digits than its factorization.

261134208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 261134208 is about 16159.6475209084. The cubic root of 261134208 is about 639.1771717351.

The spelling of 261134208 in words is "two hundred sixty-one million, one hundred thirty-four thousand, two hundred eight".