358020 has 120 divisors (see below), whose sum is σ = 1280664. Its totient is φ = 82944.

The previous prime is 357997. The next prime is 358031. The reversal of 358020 is 20853.

It can be written as a sum of positive squares in 4 ways, for example, as 26244 + 331776 = 162^2 + 576^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 357984 and 358002.

It is a congruent number.

It is an unprimeable number.

358020 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21052 + ... + 21068.

2³⁵⁸⁰²⁰ is an apocalyptic number.

358020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 358020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640332).

358020 is an abundant number, since it is smaller than the sum of its proper divisors (922644).

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

358020 is a wasteful number, since it uses less digits than its factorization.

358020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 358020 is about 598.3477249894. The cubic root of 358020 is about 71.0072068331.

Adding to 358020 its reverse (20853), we get a palindrome (378873).

It can be divided in two parts, 3580 and 20, that added together give a square (3600 = 60²).

The spelling of 358020 in words is "three hundred fifty-eight thousand, twenty".