361888 has 24 divisors (see below), whose sum is σ = 731808. Its totient is φ = 176064.

The previous prime is 361877. The next prime is 361901. The reversal of 361888 is 888163.

It is an unprimeable number.

361888 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1245 + ... + 1507.

It is an arithmetic number, because the mean of its divisors is an integer number (30492).

2³⁶¹⁸⁸⁸ 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 361888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365904).

361888 is an abundant number, since it is smaller than the sum of its proper divisors (369920).

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

361888 is a wasteful number, since it uses less digits than its factorization.

361888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 308 counting only the distinct ones).

The product of its digits is 9216, while the sum is 34.

The square root of 361888 is about 601.5712759100. The cubic root of 361888 is about 71.2620088510.

The spelling of 361888 in words is "three hundred sixty-one thousand, eight hundred eighty-eight".