359984 has 20 divisors (see below), whose sum is σ = 706800. Its totient is φ = 177600.

The previous prime is 359981. The next prime is 359987. The reversal of 359984 is 489953.

It is an interprime number because it is at equal distance from previous prime (359981) and next prime (359987).

It is not an unprimeable number, because it can be changed into a prime (359981) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2309 + ... + 2459.

It is an arithmetic number, because the mean of its divisors is an integer number (35340).

2³⁵⁹⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

359984 is a deficient number, since it is larger than the sum of its proper divisors (346816).

359984 is a wasteful number, since it uses less digits than its factorization.

359984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 302 counting only the distinct ones).

The product of its digits is 38880, while the sum is 38.

The square root of 359984 is about 599.9866665185. The cubic root of 359984 is about 71.1368121799.

The spelling of 359984 in words is "three hundred fifty-nine thousand, nine hundred eighty-four".