351680 has 56 divisors (see below), whose sum is σ = 963168. Its totient is φ = 119808.

The previous prime is 351667. The next prime is 351691. The reversal of 351680 is 86153.

351680 = T₂₀₉ + T₂₁₀ + ... + T₂₂₃.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

351680 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 7 ways as a sum of consecutive naturals, for example, 2162 + ... + 2318.

2³⁵¹⁶⁸⁰ 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 351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481584).

351680 is an abundant number, since it is smaller than the sum of its proper divisors (611488).

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

351680 is a wasteful number, since it uses less digits than its factorization.

351680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 351680 is about 593.0261377039. The cubic root of 351680 is about 70.5855641691.

The spelling of 351680 in words is "three hundred fifty-one thousand, six hundred eighty".