359820 has 36 divisors (see below), whose sum is σ = 1092000. Its totient is φ = 95904.

The previous prime is 359783. The next prime is 359837. The reversal of 359820 is 28953.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 820 + ... + 1179.

2³⁵⁹⁸²⁰ is an apocalyptic number.

359820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

359820 is an abundant number, since it is smaller than the sum of its proper divisors (732180).

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

359820 is a wasteful number, since it uses less digits than its factorization.

359820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 359820 is about 599.8499812453. The cubic root of 359820 is about 71.1260078022.

The spelling of 359820 in words is "three hundred fifty-nine thousand, eight hundred twenty".