359104 has 28 divisors (see below), whose sum is σ = 739648. Its totient is φ = 172800.

The previous prime is 359101. The next prime is 359111. The reversal of 359104 is 401953.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (359101) 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, 1894 + ... + 2074.

It is an arithmetic number, because the mean of its divisors is an integer number (26416).

2³⁵⁹¹⁰⁴ 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 359104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369824).

359104 is an abundant number, since it is smaller than the sum of its proper divisors (380544).

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

359104 is a wasteful number, since it uses less digits than its factorization.

359104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 359104 is about 599.2528681617. The cubic root of 359104 is about 71.0787989773.

Subtracting 359104 from its reverse (401953), we obtain a square (42849 = 207²).

The spelling of 359104 in words is "three hundred fifty-nine thousand, one hundred four".