1012820 has 24 divisors (see below), whose sum is σ = 2154600. Its totient is φ = 399872.

The previous prime is 1012811. The next prime is 1012829. The reversal of 1012820 is 282101.

It is an interprime number because it is at equal distance from previous prime (1012811) and next prime (1012829).

It can be written as a sum of positive squares in 4 ways, for example, as 784 + 1012036 = 28^2 + 1006^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1012795 and 1012804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012829) 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, 1496 + ... + 2064.

It is an arithmetic number, because the mean of its divisors is an integer number (89775).

2^1012820 is an apocalyptic number.

1012820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012820 is an abundant number, since it is smaller than the sum of its proper divisors (1141780).

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

1012820 is a wasteful number, since it uses less digits than its factorization.

1012820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1012820 is about 1006.3895865916. The cubic root of 1012820 is about 100.4255200916.

Adding to 1012820 its reverse (282101), we get a palindrome (1294921).

The spelling of 1012820 in words is "one million, twelve thousand, eight hundred twenty".