10004020 has 48 divisors (see below), whose sum is σ = 22896720. Its totient is φ = 3649536.

The previous prime is 10004017. The next prime is 10004039. The reversal of 10004020 is 2040001.

It can be written as a sum of positive squares in 8 ways, for example, as 443556 + 9560464 = 666^2 + 3092^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10003994 and 10004012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28164 + ... + 28516.

It is an arithmetic number, because the mean of its divisors is an integer number (477015).

Almost surely, 2^10004020 is an apocalyptic number.

10004020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10004020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11448360).

10004020 is an abundant number, since it is smaller than the sum of its proper divisors (12892700).

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

10004020 is a wasteful number, since it uses less digits than its factorization.

10004020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 10004020 is about 3162.9132141113. The cubic root of 10004020 is about 215.4723345604.

Adding to 10004020 its reverse (2040001), we get a palindrome (12044021).

The spelling of 10004020 in words is "ten million, four thousand, twenty".