10008820 has 24 divisors (see below), whose sum is σ = 22125600. Its totient is φ = 3792672.

The previous prime is 10008781. The next prime is 10008821. The reversal of 10008820 is 2880001.

It is a happy number.

10008820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10008821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12790 + ... + 13549.

It is an arithmetic number, because the mean of its divisors is an integer number (921900).

Almost surely, 2^10008820 is an apocalyptic number.

10008820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10008820 is an abundant number, since it is smaller than the sum of its proper divisors (12116780).

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

10008820 is a wasteful number, since it uses less digits than its factorization.

10008820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26367 (or 26365 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 10008820 is about 3163.6719172506. The cubic root of 10008820 is about 215.5067907701.

Adding to 10008820 its reverse (2880001), we get a palindrome (12888821).

The spelling of 10008820 in words is "ten million, eight thousand, eight hundred twenty".