261248 has 32 divisors (see below), whose sum is σ = 564060. Its totient is φ = 119808.

The previous prime is 261241. The next prime is 261251. The reversal of 261248 is 842162.

261248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 238144 + 23104 = 488^2 + 152^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (261241) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1586 + ... + 1742.

2²⁶¹²⁴⁸ 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 261248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282030).

261248 is an abundant number, since it is smaller than the sum of its proper divisors (302812).

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

261248 is a wasteful number, since it uses less digits than its factorization.

261248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 172 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

The square root of 261248 is about 511.1242510388. The cubic root of 261248 is about 63.9270000996.

The spelling of 261248 in words is "two hundred sixty-one thousand, two hundred forty-eight".