360540 has 36 divisors (see below), whose sum is σ = 1094184. Its totient is φ = 96096.

The previous prime is 360511. The next prime is 360541. The reversal of 360540 is 45063.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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

360540 is a modest number, since divided by 540 gives 360 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360541) by changing a digit.

360540 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 11 ways as a sum of consecutive naturals, for example, 822 + ... + 1181.

It is an arithmetic number, because the mean of its divisors is an integer number (30394).

2³⁶⁰⁵⁴⁰ is an apocalyptic number.

360540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

360540 is an abundant number, since it is smaller than the sum of its proper divisors (733644).

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

360540 is a wasteful number, since it uses less digits than its factorization.

360540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 360540 is about 600.4498313764. The cubic root of 360540 is about 71.1734172532.

It can be divided in two parts, 360 and 540, that added together give a square (900 = 30²).

The spelling of 360540 in words is "three hundred sixty thousand, five hundred forty".