350796 has 48 divisors (see below), whose sum is σ = 903168. Its totient is φ = 105600.

The previous prime is 350789. The next prime is 350803. The reversal of 350796 is 697053.

350796 = 91² + 92² + ... + 121².

It is an interprime number because it is at equal distance from previous prime (350789) and next prime (350803).

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, 8536 + ... + 8576.

It is an arithmetic number, because the mean of its divisors is an integer number (18816).

2³⁵⁰⁷⁹⁶ 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 350796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451584).

350796 is an abundant number, since it is smaller than the sum of its proper divisors (552372).

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

350796 is a wasteful number, since it uses less digits than its factorization.

350796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 350796 is about 592.2803390287. The cubic root of 350796 is about 70.5263721064.

The spelling of 350796 in words is "three hundred fifty thousand, seven hundred ninety-six".