10002624 has 56 divisors (see below), whose sum is σ = 26944320. Its totient is φ = 3273984.

The previous prime is 10002623. The next prime is 10002649. The reversal of 10002624 is 42620001.

It is not an unprimeable number, because it can be changed into a prime (10002623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10887 + ... + 11769.

Almost surely, 2^10002624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13472160).

10002624 is an abundant number, since it is smaller than the sum of its proper divisors (16941696).

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

10002624 is an equidigital number, since it uses as much as digits as its factorization.

10002624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 10002624 is about 3162.6925237841. The cubic root of 10002624 is about 215.4623114773.

Adding to 10002624 its reverse (42620001), we get a palindrome (52622625).

The spelling of 10002624 in words is "ten million, two thousand, six hundred twenty-four".