261584748 has 48 divisors (see below), whose sum is σ = 684925920. Its totient is φ = 86328000.

The previous prime is 261584737. The next prime is 261584749. The reversal of 261584748 is 847485162.

261584748 is a `hidden beast` number, since 2 + 61 + 584 + 7 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (261584749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1083 + ... + 22898.

It is an arithmetic number, because the mean of its divisors is an integer number (14269290).

Almost surely, 2^261584748 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 261584748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342462960).

261584748 is an abundant number, since it is smaller than the sum of its proper divisors (423341172).

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

261584748 is a wasteful number, since it uses less digits than its factorization.

261584748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24095 (or 24087 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 261584748 is about 16173.5817925406. The cubic root of 261584748 is about 639.5445555253.

The spelling of 261584748 in words is "two hundred sixty-one million, five hundred eighty-four thousand, seven hundred forty-eight".