10004624 has 40 divisors (see below), whose sum is σ = 22617600. Its totient is φ = 4285344.

The previous prime is 10004611. The next prime is 10004627. The reversal of 10004624 is 42640001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004627) 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, 4577 + ... + 6399.

It is an arithmetic number, because the mean of its divisors is an integer number (565440).

Almost surely, 2^10004624 is an apocalyptic number.

10004624 is a gapful number since it is divisible by the number (14) 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 10004624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11308800).

10004624 is an abundant number, since it is smaller than the sum of its proper divisors (12612976).

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

10004624 is an equidigital number, since it uses as much as digits as its factorization.

10004624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 10004624 is about 3163.0086942656. The cubic root of 10004624 is about 215.4766709062.

Adding to 10004624 its reverse (42640001), we get a palindrome (52644625).

The spelling of 10004624 in words is "ten million, four thousand, six hundred twenty-four".