261250848 has 72 divisors (see below), whose sum is σ = 750230208. Its totient is φ = 86228352.

The previous prime is 261250841. The next prime is 261250877. The reversal of 261250848 is 848052162.

261250848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (261250841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25261 + ... + 34067.

It is an arithmetic number, because the mean of its divisors is an integer number (10419864).

Almost surely, 2^261250848 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 261250848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375115104).

261250848 is an abundant number, since it is smaller than the sum of its proper divisors (488979360).

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

261250848 is a wasteful number, since it uses less digits than its factorization.

261250848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8926 (or 8915 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 261250848 is about 16163.2561076041. The cubic root of 261250848 is about 639.2723239922.

The spelling of 261250848 in words is "two hundred sixty-one million, two hundred fifty thousand, eight hundred forty-eight".