10080624 has 60 divisors (see below), whose sum is σ = 27291656. Its totient is φ = 3206016.

The previous prime is 10080593. The next prime is 10080641. The reversal of 10080624 is 42608001.

10080624 = 651² + 652² + ... + 673².

It is a Cunningham number, because it is equal to 3175²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 10080624.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25194 + ... + 25590.

Almost surely, 2^10080624 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 10080624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13645828).

10080624 is an abundant number, since it is smaller than the sum of its proper divisors (17211032).

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

10080624 is a wasteful number, since it uses less digits than its factorization.

10080624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 10080624 is about 3174.9998425197. Note that the first 3 decimals coincide. The cubic root of 10080624 is about 216.0209170416.

Adding to 10080624 its reverse (42608001), we get a palindrome (52688625).

The spelling of 10080624 in words is "ten million, eighty thousand, six hundred twenty-four".