1020160 has 36 divisors (see below), whose sum is σ = 2446668. Its totient is φ = 407552.

The previous prime is 1020157. The next prime is 1020163. The reversal of 1020160 is 610201.

It is an interprime number because it is at equal distance from previous prime (1020157) and next prime (1020163).

It can be written as a sum of positive squares in 2 ways, for example, as 430336 + 589824 = 656^2 + 768^2 .

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

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020163) 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 3 ways as a sum of consecutive naturals, for example, 882 + ... + 1678.

It is an arithmetic number, because the mean of its divisors is an integer number (67963).

2^1020160 is an apocalyptic number.

1020160 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 1020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223334).

1020160 is an abundant number, since it is smaller than the sum of its proper divisors (1426508).

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

1020160 is an frugal number, since it uses more digits than its factorization.

1020160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1020160 is about 1010.0297025335. The cubic root of 1020160 is about 100.6675340675.

Adding to 1020160 its reverse (610201), we get a palindrome (1630361).

The spelling of 1020160 in words is "one million, twenty thousand, one hundred sixty".