359940 has 48 divisors (see below), whose sum is σ = 1153152. Its totient is φ = 82176.

The previous prime is 359929. The next prime is 359981. The reversal of 359940 is 49953.

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

It is a junction number, because it is equal to n+sod(n) for n = 359898 and 359907.

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, 9 + ... + 848.

It is an arithmetic number, because the mean of its divisors is an integer number (24024).

2³⁵⁹⁹⁴⁰ is an apocalyptic number.

359940 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 359940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576576).

359940 is an abundant number, since it is smaller than the sum of its proper divisors (793212).

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

359940 is a wasteful number, since it uses less digits than its factorization.

359940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 359940 is about 599.9499979165. The cubic root of 359940 is about 71.1339137665.

The spelling of 359940 in words is "three hundred fifty-nine thousand, nine hundred forty".