10360 has 32 divisors (see below), whose sum is σ = 27360. Its totient is φ = 3456.

The previous prime is 10357. The next prime is 10369. The reversal of 10360 is 6301.

It is a super-3 number, since 3×10360³ = 3335803968000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 262 + ... + 298.

It is an arithmetic number, because the mean of its divisors is an integer number (855).

2¹⁰³⁶⁰ is an apocalyptic number.

10360 is a gapful number since it is divisible by the number (10) 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 10360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13680).

10360 is an abundant number, since it is smaller than the sum of its proper divisors (17000).

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

10360 is a wasteful number, since it uses less digits than its factorization.

10360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 10360 is about 101.7840852000. The cubic root of 10360 is about 21.7998372740.

Adding to 10360 its reverse (6301), we get a palindrome (16661).

It can be divided in two parts, 10 and 360, that multiplied together give a square (3600 = 60²).

The spelling of 10360 in words is "ten thousand, three hundred sixty".