359970 has 48 divisors (see below), whose sum is σ = 948672. Its totient is φ = 87360.

The previous prime is 359929. The next prime is 359981. The reversal of 359970 is 79953.

359970 is nontrivially palindromic in base 9.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

359970 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 23 ways as a sum of consecutive naturals, for example, 5035 + ... + 5105.

It is an arithmetic number, because the mean of its divisors is an integer number (19764).

2³⁵⁹⁹⁷⁰ is an apocalyptic number.

359970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 359970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474336).

359970 is an abundant number, since it is smaller than the sum of its proper divisors (588702).

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

359970 is a wasteful number, since it uses less digits than its factorization.

359970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 8505, while the sum is 33.

The square root of 359970 is about 599.9749994791. The cubic root of 359970 is about 71.1358899831.

The spelling of 359970 in words is "three hundred fifty-nine thousand, nine hundred seventy".