359520 has 96 divisors (see below), whose sum is σ = 1306368. Its totient is φ = 81408.

The previous prime is 359509. The next prime is 359539. The reversal of 359520 is 25953.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3307 + ... + 3413.

It is an arithmetic number, because the mean of its divisors is an integer number (13608).

2³⁵⁹⁵²⁰ is an apocalyptic number.

359520 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 359520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653184).

359520 is an abundant number, since it is smaller than the sum of its proper divisors (946848).

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

359520 is a wasteful number, since it uses less digits than its factorization.

359520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 359520 is about 599.5998665777. The cubic root of 359520 is about 71.1062351981.

The spelling of 359520 in words is "three hundred fifty-nine thousand, five hundred twenty".