352016 has 30 divisors (see below), whose sum is σ = 795150. Its totient is φ = 150528.

The previous prime is 352007. The next prime is 352021. The reversal of 352016 is 610253.

It can be written as a sum of positive squares in only one way, i.e., 313600 + 38416 = 560^2 + 196^2 .

It is a junction number, because it is equal to n+sod(n) for n = 351985 and 352003.

It is an unprimeable number.

352016 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 5 ways as a sum of consecutive naturals, for example, 560 + ... + 1008.

It is an arithmetic number, because the mean of its divisors is an integer number (26505).

2³⁵²⁰¹⁶ 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 352016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397575).

352016 is an abundant number, since it is smaller than the sum of its proper divisors (443134).

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

352016 is a wasteful number, since it uses less digits than its factorization.

352016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 352016 is about 593.3093628117. The cubic root of 352016 is about 70.6080364928.

Adding to 352016 its reverse (610253), we get a palindrome (962269).

The spelling of 352016 in words is "three hundred fifty-two thousand, sixteen".