351560 has 64 divisors (see below), whose sum is σ = 933120. Its totient is φ = 117760.

The previous prime is 351551. The next prime is 351563. The reversal of 351560 is 65153.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (351563) by changing a digit.

351560 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, 7457 + ... + 7503.

It is an arithmetic number, because the mean of its divisors is an integer number (14580).

2³⁵¹⁵⁶⁰ 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 351560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466560).

351560 is an abundant number, since it is smaller than the sum of its proper divisors (581560).

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

351560 is a wasteful number, since it uses less digits than its factorization.

351560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 351560 is about 592.9249530927. The cubic root of 351560 is about 70.5775348704.

351560 divided by its sum of digits (20) gives a triangular number (17578 = T₁₈₇).

The spelling of 351560 in words is "three hundred fifty-one thousand, five hundred sixty".