10006816 has 24 divisors (see below), whose sum is σ = 19822320. Its totient is φ = 4972608.

The previous prime is 10006793. The next prime is 10006823. The reversal of 10006816 is 61860001.

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, 4855 + ... + 6601.

It is an arithmetic number, because the mean of its divisors is an integer number (825930).

Almost surely, 2^10006816 is an apocalyptic number.

10006816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10006816 is a deficient number, since it is larger than the sum of its proper divisors (9815504).

10006816 is a wasteful number, since it uses less digits than its factorization.

10006816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 10006816 is about 3163.3551808167. The cubic root of 10006816 is about 215.4924066424.

Adding to 10006816 its reverse (61860001), we get a palindrome (71866817).

The spelling of 10006816 in words is "ten million, six thousand, eight hundred sixteen".