360030 has 32 divisors (see below), whose sum is σ = 943488. Its totient is φ = 87200.

The previous prime is 360023. The next prime is 360037. The reversal of 360030 is 30063.

360030 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (360023) and next prime (360037).

It is a junction number, because it is equal to n+sod(n) for n = 359988 and 360015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360037) by changing a digit.

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, 216 + ... + 875.

It is an arithmetic number, because the mean of its divisors is an integer number (29484).

2³⁶⁰⁰³⁰ is an apocalyptic number.

360030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

360030 is an abundant number, since it is smaller than the sum of its proper divisors (583458).

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

360030 is a wasteful number, since it uses less digits than its factorization.

360030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112.

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 360030 is about 600.0249994792. The cubic root of 360030 is about 71.1398420867.

Subtracting from 360030 its product of nonzero digits (54), we obtain a triangular number (359976 = T₈₄₈).

Adding to 360030 its reverse (30063), we get a palindrome (390093).

The spelling of 360030 in words is "three hundred sixty thousand, thirty".