10068624 has 100 divisors (see below), whose sum is σ = 30923244. Its totient is φ = 3151872.

The previous prime is 10068623. The next prime is 10068631. The reversal of 10068624 is 42686001.

It can be written as a sum of positive squares in 2 ways, for example, as 8294400 + 1774224 = 2880^2 + 1332^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10068623) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21804 + ... + 22260.

Almost surely, 2^10068624 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 10068624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15461622).

10068624 is an abundant number, since it is smaller than the sum of its proper divisors (20854620).

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

10068624 is a wasteful number, since it uses less digits than its factorization.

10068624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 10068624 is about 3173.1095159165. The cubic root of 10068624 is about 215.9351657266.

The spelling of 10068624 in words is "ten million, sixty-eight thousand, six hundred twenty-four".