261360 has 120 divisors (see below), whose sum is σ = 989520. Its totient is φ = 63360.

The previous prime is 261353. The next prime is 261379. The reversal of 261360 is 63162.

261360 = 22³ + 23³ + ... + 33³.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

261360 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 23 ways as a sum of consecutive naturals, for example, 23755 + ... + 23765.

It is an arithmetic number, because the mean of its divisors is an integer number (8246).

2²⁶¹³⁶⁰ is an apocalyptic number.

261360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494760).

261360 is an abundant number, since it is smaller than the sum of its proper divisors (728160).

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

261360 is a wasteful number, since it uses less digits than its factorization.

261360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 261360 is about 511.2338016994. The cubic root of 261360 is about 63.9361342060.

The spelling of 261360 in words is "two hundred sixty-one thousand, three hundred sixty".