360060 has 48 divisors (see below), whose sum is σ = 1070496. Its totient is φ = 90112.

The previous prime is 360053. The next prime is 360071. The reversal of 360060 is 60063.

360060 = 196² + 197² + ... + 204².

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

360060 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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 844 + ... + 1196.

It is an arithmetic number, because the mean of its divisors is an integer number (22302).

2³⁶⁰⁰⁶⁰ is an apocalyptic number.

360060 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 360060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535248).

360060 is an abundant number, since it is smaller than the sum of its proper divisors (710436).

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

360060 is a wasteful number, since it uses less digits than its factorization.

360060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 360060 is about 600.0499979168. The cubic root of 360060 is about 71.1418179739.

It can be divided in two parts, 3600 and 60, that multiplied together give a cube (216000 = 60³).

The spelling of 360060 in words is "three hundred sixty thousand, sixty".