10008020 has 24 divisors (see below), whose sum is σ = 22927968. Its totient is φ = 3639200.

The previous prime is 10007983. The next prime is 10008023. The reversal of 10008020 is 2080001.

10008020 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 (11).

It is a junction number, because it is equal to n+sod(n) for n = 10007992 and 10008010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10008023) 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, 22526 + ... + 22965.

It is an arithmetic number, because the mean of its divisors is an integer number (955332).

Almost surely, 2^10008020 is an apocalyptic number.

10008020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10008020 is an abundant number, since it is smaller than the sum of its proper divisors (12919948).

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

10008020 is a wasteful number, since it uses less digits than its factorization.

10008020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45511 (or 45509 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 10008020 is about 3163.5454793633. The cubic root of 10008020 is about 215.5010488336.

Adding to 10008020 its reverse (2080001), we get a palindrome (12088021).

The spelling of 10008020 in words is "ten million, eight thousand, twenty".