361560 has 64 divisors (see below), whose sum is σ = 1140480. Its totient is φ = 91520.

The previous prime is 361549. The next prime is 361561. The reversal of 361560 is 65163.

It is a nialpdrome in base 13.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361561) by changing a digit.

361560 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2695 + ... + 2825.

It is an arithmetic number, because the mean of its divisors is an integer number (17820).

2³⁶¹⁵⁶⁰ is an apocalyptic number.

361560 is a gapful number since it is divisible by the number (30) 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 361560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570240).

361560 is an abundant number, since it is smaller than the sum of its proper divisors (778920).

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

361560 is a wasteful number, since it uses less digits than its factorization.

361560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 361560 is about 601.2985947098. The cubic root of 361560 is about 71.2404727181.

It can be divided in two parts, 36 and 1560, that added together give a triangular number (1596 = T₅₆).

The spelling of 361560 in words is "three hundred sixty-one thousand, five hundred sixty".