361984 has 40 divisors (see below), whose sum is σ = 834768. Its totient is φ = 153600.

The previous prime is 361979. The next prime is 361993. The reversal of 361984 is 489163.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3534 + ... + 3634.

2³⁶¹⁹⁸⁴ 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 361984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417384).

361984 is an abundant number, since it is smaller than the sum of its proper divisors (472784).

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

361984 is an equidigital number, since it uses as much as digits as its factorization.

361984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 110 counting only the distinct ones).

The product of its digits is 5184, while the sum is 31.

The square root of 361984 is about 601.6510616628. The cubic root of 361984 is about 71.2683096476.

The spelling of 361984 in words is "three hundred sixty-one thousand, nine hundred eighty-four".