261912576 has 96 divisors (see below), whose sum is σ = 713905920. Its totient is φ = 85352448.

The previous prime is 261912517. The next prime is 261912577. The reversal of 261912576 is 675219162.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261912577) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 288315 + ... + 289221.

It is an arithmetic number, because the mean of its divisors is an integer number (7436520).

Almost surely, 2^261912576 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 261912576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356952960).

261912576 is an abundant number, since it is smaller than the sum of its proper divisors (451993344).

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

261912576 is an equidigital number, since it uses as much as digits as its factorization.

261912576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 959 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 261912576 is about 16183.7132945440. The cubic root of 261912576 is about 639.8116112185.

The spelling of 261912576 in words is "two hundred sixty-one million, nine hundred twelve thousand, five hundred seventy-six".