10069824 has 56 divisors (see below), whose sum is σ = 26883360. Its totient is φ = 3326464.

The previous prime is 10069793. The next prime is 10069847. The reversal of 10069824 is 42896001.

It is a junction number, because it is equal to n+sod(n) for n = 10069791 and 10069800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34222 + ... + 34514.

It is an arithmetic number, because the mean of its divisors is an integer number (480060).

Almost surely, 2^10069824 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 10069824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13441680).

10069824 is an abundant number, since it is smaller than the sum of its proper divisors (16813536).

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

10069824 is a wasteful number, since it uses less digits than its factorization.

10069824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 10069824 is about 3173.2985992497. The cubic root of 10069824 is about 215.9437439231.

The spelling of 10069824 in words is "ten million, sixty-nine thousand, eight hundred twenty-four".