261785088 has 160 divisors (see below), whose sum is σ = 802850400. Its totient is φ = 84123648.

The previous prime is 261785087. The next prime is 261785113. The reversal of 261785088 is 880587162.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261785087) 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 15 ways as a sum of consecutive naturals, for example, 400570 + ... + 401222.

It is an arithmetic number, because the mean of its divisors is an integer number (5017815).

Almost surely, 2^261785088 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 261785088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401425200).

261785088 is an abundant number, since it is smaller than the sum of its proper divisors (541065312).

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

261785088 is an equidigital number, since it uses as much as digits as its factorization.

261785088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 261785088 is about 16179.7740404494. The cubic root of 261785088 is about 639.7077832641.

The spelling of 261785088 in words is "two hundred sixty-one million, seven hundred eighty-five thousand, eighty-eight".