261096 has 64 divisors (see below), whose sum is σ = 760320. Its totient is φ = 73920.

The previous prime is 261089. The next prime is 261101. The reversal of 261096 is 690162.

261096 = T₈₈ + T₈₉ + ... + T₁₃₀.

It is a super-2 number, since 2×261096² = 136342242432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 261096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6051 + ... + 6093.

It is an arithmetic number, because the mean of its divisors is an integer number (11880).

2²⁶¹⁰⁹⁶ 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 261096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380160).

261096 is an abundant number, since it is smaller than the sum of its proper divisors (499224).

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

261096 is a wasteful number, since it uses less digits than its factorization.

261096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 261096 is about 510.9755375749. The cubic root of 261096 is about 63.9145996358.

The spelling of 261096 in words is "two hundred sixty-one thousand, ninety-six".