360612 has 72 divisors (see below), whose sum is σ = 1100736. Its totient is φ = 101088.

The previous prime is 360611. The next prime is 360637. The reversal of 360612 is 216063.

It is a happy number.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 360612.

It is not an unprimeable number, because it can be changed into a prime (360611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6778 + ... + 6830.

It is an arithmetic number, because the mean of its divisors is an integer number (15288).

2³⁶⁰⁶¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 360612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550368).

360612 is an abundant number, since it is smaller than the sum of its proper divisors (740124).

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

360612 is a wasteful number, since it uses less digits than its factorization.

360612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 65 counting only the distinct ones).

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

The square root of 360612 is about 600.5097834340. The cubic root of 360612 is about 71.1781547256.

Adding to 360612 its reverse (216063), we get a palindrome (576675).

It can be divided in two parts, 36061 and 2, that added together give a palindrome (36063).

The spelling of 360612 in words is "three hundred sixty thousand, six hundred twelve".