359580 has 48 divisors (see below), whose sum is σ = 1086624. Its totient is φ = 88320.

The previous prime is 359563. The next prime is 359581. The reversal of 359580 is 85953.

359580 = T₇₁ + T₇₂ + ... + T₁₃₅.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (359581) by changing a digit.

359580 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 550 + ... + 1010.

It is an arithmetic number, because the mean of its divisors is an integer number (22638).

2³⁵⁹⁵⁸⁰ is an apocalyptic number.

359580 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 359580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543312).

359580 is an abundant number, since it is smaller than the sum of its proper divisors (727044).

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

359580 is a wasteful number, since it uses less digits than its factorization.

359580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 359580 is about 599.6498978571. The cubic root of 359580 is about 71.1101905986.

It can be divided in two parts, 359 and 580, that added together give a palindrome (939).

The spelling of 359580 in words is "three hundred fifty-nine thousand, five hundred eighty".