359996 has 48 divisors (see below), whose sum is σ = 827904. Its totient is φ = 133056.

The previous prime is 359987. The next prime is 360007. The reversal of 359996 is 699953.

It is a happy number.

359996 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×359996³ = 139963334451839808, which contains 333 as substring.

Its product of digits (65610) is a multiple of the sum of its prime factors (90).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 359996.

It is an unprimeable number.

359996 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 15 ways as a sum of consecutive naturals, for example, 8351 + ... + 8393.

It is an arithmetic number, because the mean of its divisors is an integer number (17248).

2³⁵⁹⁹⁹⁶ 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 359996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413952).

359996 is an abundant number, since it is smaller than the sum of its proper divisors (467908).

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

359996 is a wasteful number, since it uses less digits than its factorization.

359996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 88 counting only the distinct ones).

The product of its digits is 65610, while the sum is 41.

The square root of 359996 is about 599.9966666574. The cubic root of 359996 is about 71.1376026152.

The spelling of 359996 in words is "three hundred fifty-nine thousand, nine hundred ninety-six".