261580032 has 216 divisors, whose sum is σ = 882190400. Its totient is φ = 74511360.

The previous prime is 261580031. The next prime is 261580043. The reversal of 261580032 is 230085162.

It is a super-2 number, since 2×261580032² = 136848226282242048, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 261579978 and 261580005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261580031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 790107 + ... + 790437.

Almost surely, 2^261580032 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 261580032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441095200).

261580032 is an abundant number, since it is smaller than the sum of its proper divisors (620610368).

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

261580032 is an equidigital number, since it uses as much as digits as its factorization.

261580032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 261580032 is about 16173.4359985749. The cubic root of 261580032 is about 639.5407121434.

The spelling of 261580032 in words is "two hundred sixty-one million, five hundred eighty thousand, thirty-two".