361188 has 36 divisors (see below), whose sum is σ = 931840. Its totient is φ = 117936.

The previous prime is 361183. The next prime is 361211. The reversal of 361188 is 881163.

It is a tau number, because it is divible by the number of its divisors (36).

361188 is a modest number, since divided by 1188 gives 36 as remainder.

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 361188.

It is not an unprimeable number, because it can be changed into a prime (361183) by changing a digit.

361188 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 11 ways as a sum of consecutive naturals, for example, 2781 + ... + 2907.

2³⁶¹¹⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465920).

361188 is an abundant number, since it is smaller than the sum of its proper divisors (570652).

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

361188 is a wasteful number, since it uses less digits than its factorization.

361188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 211 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 361188 is about 600.9891845949. The cubic root of 361188 is about 71.2160318231.

The spelling of 361188 in words is "three hundred sixty-one thousand, one hundred eighty-eight".