261630112 has 48 divisors (see below), whose sum is σ = 535406760. Its totient is φ = 125698048.

The previous prime is 261630107. The next prime is 261630113. The reversal of 261630112 is 211036162.

It can be written as a sum of positive squares in 4 ways, for example, as 254849296 + 6780816 = 15964^2 + 2604^2 .

It is not an unprimeable number, because it can be changed into a prime (261630113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 237948 + ... + 239044.

Almost surely, 2^261630112 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 261630112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267703380).

261630112 is an abundant number, since it is smaller than the sum of its proper divisors (273776648).

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

261630112 is a wasteful number, since it uses less digits than its factorization.

261630112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 261630112 is about 16174.9841421870. The cubic root of 261630112 is about 639.5815233054.

Adding to 261630112 its reverse (211036162), we get a palindrome (472666274).

The spelling of 261630112 in words is "two hundred sixty-one million, six hundred thirty thousand, one hundred twelve".