261816048 has 240 divisors, whose sum is σ = 881506080. Its totient is φ = 71663616.

The previous prime is 261816043. The next prime is 261816059. The reversal of 261816048 is 840618162.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261816043) 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 47 ways as a sum of consecutive naturals, for example, 604440 + ... + 604872.

It is an arithmetic number, because the mean of its divisors is an integer number (3672942).

Almost surely, 2^261816048 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 261816048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440753040).

261816048 is an abundant number, since it is smaller than the sum of its proper divisors (619690032).

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

261816048 is a wasteful number, since it uses less digits than its factorization.

261816048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 261816048 is about 16180.7307622369. The cubic root of 261816048 is about 639.7330006061.

The spelling of 261816048 in words is "two hundred sixty-one million, eight hundred sixteen thousand, forty-eight".