10820020 has 12 divisors (see below), whose sum is σ = 22722084. Its totient is φ = 4328000.

The previous prime is 10820009. The next prime is 10820027. The reversal of 10820020 is 2002801.

It can be written as a sum of positive squares in 2 ways, for example, as 7033104 + 3786916 = 2652^2 + 1946^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10820027) 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 3 ways as a sum of consecutive naturals, for example, 270481 + ... + 270520.

It is an arithmetic number, because the mean of its divisors is an integer number (1893507).

Almost surely, 2^10820020 is an apocalyptic number.

10820020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10820020 is an abundant number, since it is smaller than the sum of its proper divisors (11902064).

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

10820020 is a wasteful number, since it uses less digits than its factorization.

10820020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541010 (or 541008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 10820020 is about 3289.3798807678. The cubic root of 10820020 is about 221.1783876677.

Adding to 10820020 its reverse (2002801), we get a palindrome (12822821).

It can be divided in two parts, 108 and 20020, that multiplied together give a triangular number (2162160 = T₂₀₇₉).

The spelling of 10820020 in words is "ten million, eight hundred twenty thousand, twenty".