1000360 has 32 divisors (see below), whose sum is σ = 2284200. Its totient is φ = 394240.

The previous prime is 1000357. The next prime is 1000367. The reversal of 1000360 is 630001.

1000360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 736164 + 264196 = 858^2 + 514^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000367) 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, 3420 + ... + 3700.

2^1000360 is an apocalyptic number.

1000360 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 1000360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142100).

1000360 is an abundant number, since it is smaller than the sum of its proper divisors (1283840).

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

1000360 is a wasteful number, since it uses less digits than its factorization.

1000360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 377 counting only the distinct ones).

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

The square root of 1000360 is about 1000.1799838029. The cubic root of 1000360 is about 100.0119985603.

Adding to 1000360 its reverse (630001), we get a palindrome (1630361).

It can be divided in two parts, 1000 and 360, that multiplied together give a square (360000 = 600²).

The spelling of 1000360 in words is "one million, three hundred sixty", and thus it is an aban number.