1020306 has 32 divisors (see below), whose sum is σ = 2471040. Its totient is φ = 274176.

The previous prime is 1020301. The next prime is 1020329. The reversal of 1020306 is 6030201.

1020306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

1020306 is a nontrivial binomial coefficient, being equal to C(1429, 2).

1020306 is a modest number, since divided by 306 gives 102 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1020291 and 1020300.

It is not an unprimeable number, because it can be changed into a prime (1020301) 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, 1 + ... + 1428.

It is an arithmetic number, because the mean of its divisors is an integer number (77220).

2^1020306 is an apocalyptic number.

1020306 is the 1428-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235520).

1020306 is an abundant number, since it is smaller than the sum of its proper divisors (1450734).

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

1020306 is a wasteful number, since it uses less digits than its factorization.

1020306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458.

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

The square root of 1020306 is about 1010.1019750500. The cubic root of 1020306 is about 100.6723361767.

Adding to 1020306 its reverse (6030201), we get a palindrome (7050507).

It can be divided in two parts, 1020 and 306, that added together give a triangular number (1326 = T₅₁).

The spelling of 1020306 in words is "one million, twenty thousand, three hundred six".