10007816 has 64 divisors (see below), whose sum is σ = 23587200. Its totient is φ = 3875328.

The previous prime is 10007801. The next prime is 10007819. The reversal of 10007816 is 61870001.

It is a junction number, because it is equal to n+sod(n) for n = 10007791 and 10007800.

It is not an unprimeable number, because it can be changed into a prime (10007819) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42836 + ... + 43068.

It is an arithmetic number, because the mean of its divisors is an integer number (368550).

Almost surely, 2^10007816 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 10007816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11793600).

10007816 is an abundant number, since it is smaller than the sum of its proper divisors (13579384).

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

10007816 is a wasteful number, since it uses less digits than its factorization.

10007816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 10007816 is about 3163.5132368934. The cubic root of 10007816 is about 215.4995845909.

Adding to 10007816 its reverse (61870001), we get a palindrome (71877817).

The spelling of 10007816 in words is "ten million, seven thousand, eight hundred sixteen".