10004800 has 126 divisors (see below), whose sum is σ = 27377898. Its totient is φ = 3594240.

The previous prime is 10004719. The next prime is 10004801. The reversal of 10004800 is 840001.

It can be written as a sum of positive squares in 9 ways, for example, as 4129024 + 5875776 = 2032^2 + 2424^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 270382 + ... + 270418.

Almost surely, 2^10004800 is an apocalyptic number.

10004800 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 10004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13688949).

10004800 is an abundant number, since it is smaller than the sum of its proper divisors (17373098).

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

10004800 is a wasteful number, since it uses less digits than its factorization.

10004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 57 counting only the distinct ones).

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

The square root of 10004800 is about 3163.0365157551. The cubic root of 10004800 is about 215.4779344443.

Adding to 10004800 its reverse (840001), we get a palindrome (10844801).

The spelling of 10004800 in words is "ten million, four thousand, eight hundred".