359320 has 32 divisors (see below), whose sum is σ = 871920. Its totient is φ = 132480.

The previous prime is 359311. The next prime is 359323. The reversal of 359320 is 23953.

It is a super-2 number, since 2×359320² = 258221724800, which contains 22 as substring.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 359291 and 359300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (359323) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 175 + ... + 865.

2³⁵⁹³²⁰ 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 359320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435960).

359320 is an abundant number, since it is smaller than the sum of its proper divisors (512600).

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

359320 is a wasteful number, since it uses less digits than its factorization.

359320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 22.

The square root of 359320 is about 599.4330654877. The cubic root of 359320 is about 71.0930473505.

The spelling of 359320 in words is "three hundred fifty-nine thousand, three hundred twenty".