261924 has 48 divisors (see below), whose sum is σ = 696192. Its totient is φ = 76032.

The previous prime is 261917. The next prime is 261959. The reversal of 261924 is 429162.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 261894 and 261903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3552 + ... + 3624.

It is an arithmetic number, because the mean of its divisors is an integer number (14504).

2²⁶¹⁹²⁴ 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 261924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348096).

261924 is an abundant number, since it is smaller than the sum of its proper divisors (434268).

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

261924 is a wasteful number, since it uses less digits than its factorization.

261924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 114 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 261924 is about 511.7851111551. The cubic root of 261924 is about 63.9820913434.

The spelling of 261924 in words is "two hundred sixty-one thousand, nine hundred twenty-four".