351360 has 96 divisors (see below), whose sum is σ = 1233180. Its totient is φ = 92160.

The previous prime is 351359. The next prime is 351361. The reversal of 351360 is 63153.

It is an interprime number because it is at equal distance from previous prime (351359) and next prime (351361).

It can be written as a sum of positive squares in 2 ways, for example, as 304704 + 46656 = 552^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (351361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5730 + ... + 5790.

2³⁵¹³⁶⁰ is an apocalyptic number.

351360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616590).

351360 is an abundant number, since it is smaller than the sum of its proper divisors (881820).

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

351360 is a wasteful number, since it uses less digits than its factorization.

351360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 351360 is about 592.7562736910. The cubic root of 351360 is about 70.5641486447.

The spelling of 351360 in words is "three hundred fifty-one thousand, three hundred sixty".