360000 has 105 divisors (see below), whose sum is σ = 1289431. Its totient is φ = 96000.

The previous prime is 359987. The next prime is 360007. The reversal of 360000 is 63.

The square root of 360000 is 600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 28224 + 331776 = 168^2 + 576^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (360007) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 71998 + ... + 72002.

2³⁶⁰⁰⁰⁰ is an apocalyptic number.

360000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

360000 is the 600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 360000

360000 is an abundant number, since it is smaller than the sum of its proper divisors (929431).

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

360000 is an equidigital number, since it uses as much as digits as its factorization.

360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The cubic root of 360000 is about 71.1378660898.

Adding to 360000 its reverse (63), we get a palindrome (360063).

The spelling of 360000 in words is "three hundred sixty thousand".