360870 has 32 divisors (see below), whose sum is σ = 905472. Its totient is φ = 91872.

The previous prime is 360869. The next prime is 360901. The reversal of 360870 is 78063.

360870 is nontrivially palindromic in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 360870.

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 360870.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429 + ... + 951.

It is an arithmetic number, because the mean of its divisors is an integer number (28296).

2³⁶⁰⁸⁷⁰ is an apocalyptic number.

360870 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 360870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452736).

360870 is an abundant number, since it is smaller than the sum of its proper divisors (544602).

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

360870 is a wasteful number, since it uses less digits than its factorization.

360870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 360870 is about 600.7245625076. The cubic root of 360870 is about 71.1951254922.

The spelling of 360870 in words is "three hundred sixty thousand, eight hundred seventy".