261576 has 64 divisors (see below), whose sum is σ = 835200. Its totient is φ = 74304.

The previous prime is 261563. The next prime is 261577. The reversal of 261576 is 675162.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (261577) by changing a digit.

261576 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1426 + ... + 1598.

It is an arithmetic number, because the mean of its divisors is an integer number (13050).

2²⁶¹⁵⁷⁶ 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 261576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417600).

261576 is an abundant number, since it is smaller than the sum of its proper divisors (573624).

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

261576 is a wasteful number, since it uses less digits than its factorization.

261576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 185 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 261576 is about 511.4450117070. The cubic root of 261576 is about 63.9537426162.

The spelling of 261576 in words is "two hundred sixty-one thousand, five hundred seventy-six".