360900 has 54 divisors (see below), whose sum is σ = 1134042. Its totient is φ = 96000.

The previous prime is 360869. The next prime is 360901. The reversal of 360900 is 9063.

It can be written as a sum of positive squares in 3 ways, for example, as 112896 + 248004 = 336^2 + 498^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (360901) by changing a digit.

360900 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 17 ways as a sum of consecutive naturals, for example, 700 + ... + 1100.

2³⁶⁰⁹⁰⁰ is an apocalyptic number.

360900 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 360900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567021).

360900 is an abundant number, since it is smaller than the sum of its proper divisors (773142).

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

360900 is a wasteful number, since it uses less digits than its factorization.

360900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 360900 is about 600.7495318350. The cubic root of 360900 is about 71.1970983121.

Adding to 360900 its reverse (9063), we get a palindrome (369963).

The spelling of 360900 in words is "three hundred sixty thousand, nine hundred".