360360 has 192 divisors, whose sum is σ = 1572480. Its totient is φ = 69120.

The previous prime is 360337. The next prime is 360391. The reversal of 360360 is 63063.

360360 is a `hidden beast` number, since 3 + 603 + 60 = 666.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

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 an Ulam number.

It is a congruent number.

It is an unprimeable number.

360360 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27714 + ... + 27726.

It is an arithmetic number, because the mean of its divisors is an integer number (8190).

2³⁶⁰³⁶⁰ is an apocalyptic number.

360360 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 360360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786240).

360360 is an abundant number, since it is smaller than the sum of its proper divisors (1212120).

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

360360 is a wasteful number, since it uses less digits than its factorization.

360360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 360360 is about 600.2999250375. The cubic root of 360360 is about 71.1615708120.

It can be divided in two parts, 3603 and 60, that added together give a palindrome (3663).

The spelling of 360360 in words is "three hundred sixty thousand, three hundred sixty".