360906 has 32 divisors (see below), whose sum is σ = 889728. Its totient is φ = 95040.

The previous prime is 360901. The next prime is 360907. The reversal of 360906 is 609063.

It is not an unprimeable number, because it can be changed into a prime (360901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216 + ... + 876.

It is an arithmetic number, because the mean of its divisors is an integer number (27804).

2³⁶⁰⁹⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 360906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444864).

360906 is an abundant number, since it is smaller than the sum of its proper divisors (528822).

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

360906 is a wasteful number, since it uses less digits than its factorization.

360906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686.

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 360906 is about 600.7545255760. The cubic root of 360906 is about 71.1974928629.

Adding to 360906 its reverse (609063), we get a palindrome (969969).

The spelling of 360906 in words is "three hundred sixty thousand, nine hundred six".