1020360 has 64 divisors (see below), whose sum is σ = 3343680. Its totient is φ = 247040.

The previous prime is 1020353. The next prime is 1020361. The reversal of 1020360 is 630201.

1020360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1020360² = 2082269059200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 934 + ... + 1706.

It is an arithmetic number, because the mean of its divisors is an integer number (52245).

2^1020360 is an apocalyptic number.

1020360 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 1020360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671840).

1020360 is an abundant number, since it is smaller than the sum of its proper divisors (2323320).

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

1020360 is a wasteful number, since it uses less digits than its factorization.

1020360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1020360 is about 1010.1287046708. The cubic root of 1020360 is about 100.6741121831.

Adding to 1020360 its reverse (630201), we get a palindrome (1650561).

The spelling of 1020360 in words is "one million, twenty thousand, three hundred sixty".