1017320 has 32 divisors (see below), whose sum is σ = 2370600. Its totient is φ = 392448.

The previous prime is 1017319. The next prime is 1017323. The reversal of 1017320 is 237101.

It can be written as a sum of positive squares in 4 ways, for example, as 948676 + 68644 = 974^2 + 262^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1017295 and 1017304.

It is not an unprimeable number, because it can be changed into a prime (1017323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 722 + ... + 1598.

2^1017320 is an apocalyptic number.

1017320 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 1017320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185300).

1017320 is an abundant number, since it is smaller than the sum of its proper divisors (1353280).

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

1017320 is a wasteful number, since it uses less digits than its factorization.

1017320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 1017320 is about 1008.6228234578. The cubic root of 1017320 is about 100.5740319021.

The spelling of 1017320 in words is "one million, seventeen thousand, three hundred twenty".