261985752 has 240 divisors, whose sum is σ = 880608960. Its totient is φ = 72503424.

The previous prime is 261985693. The next prime is 261985771. The reversal of 261985752 is 257589162.

It is a junction number, because it is equal to n+sod(n) for n = 261985698 and 261985707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1174713 + ... + 1174935.

It is an arithmetic number, because the mean of its divisors is an integer number (3669204).

Almost surely, 2^261985752 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 261985752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440304480).

261985752 is an abundant number, since it is smaller than the sum of its proper divisors (618623208).

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

261985752 is a wasteful number, since it uses less digits than its factorization.

261985752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 272 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 261985752 is about 16185.9739280650. The cubic root of 261985752 is about 639.8711915252.

The spelling of 261985752 in words is "two hundred sixty-one million, nine hundred eighty-five thousand, seven hundred fifty-two".