261392 has 30 divisors (see below), whose sum is σ = 554094. Its totient is φ = 119040.

The previous prime is 261389. The next prime is 261407. The reversal of 261392 is 293162.

It can be written as a sum of positive squares in only one way, i.e., 246016 + 15376 = 496^2 + 124^2 .

It is a nialpdrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 261392.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8417 + ... + 8447.

2²⁶¹³⁹² 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 261392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277047).

261392 is an abundant number, since it is smaller than the sum of its proper divisors (292702).

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

261392 is a wasteful number, since it uses less digits than its factorization.

261392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 50 counting only the distinct ones).

The product of its digits is 648, while the sum is 23.

The square root of 261392 is about 511.2650975766. The cubic root of 261392 is about 63.9387434714.

The spelling of 261392 in words is "two hundred sixty-one thousand, three hundred ninety-two".