10090624 has 32 divisors (see below), whose sum is σ = 20759040. Its totient is φ = 4880640.

The previous prime is 10090609. The next prime is 10090631. The reversal of 10090624 is 42609001.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 10090595 and 10090604.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2697 + ... + 5239.

It is an arithmetic number, because the mean of its divisors is an integer number (648720).

Almost surely, 2^10090624 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 10090624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10379520).

10090624 is an abundant number, since it is smaller than the sum of its proper divisors (10668416).

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

10090624 is an equidigital number, since it uses as much as digits as its factorization.

10090624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588 (or 2576 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 10090624 is about 3176.5742553890. The cubic root of 10090624 is about 216.0923245012.

Adding to 10090624 its reverse (42609001), we get a palindrome (52699625).

The spelling of 10090624 in words is "ten million, ninety thousand, six hundred twenty-four".