10008816 has 40 divisors (see below), whose sum is σ = 26106960. Its totient is φ = 3303936.

The previous prime is 10008781. The next prime is 10008821. The reversal of 10008816 is 61880001.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 4276 + ... + 6188.

It is an arithmetic number, because the mean of its divisors is an integer number (652674).

Almost surely, 2^10008816 is an apocalyptic number.

10008816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10008816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13053480).

10008816 is an abundant number, since it is smaller than the sum of its proper divisors (16098144).

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

10008816 is a wasteful number, since it uses less digits than its factorization.

10008816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 10008816 is about 3163.6712850737. The cubic root of 10008816 is about 215.5067620612.

Adding to 10008816 its reverse (61880001), we get a palindrome (71888817).

The spelling of 10008816 in words is "ten million, eight thousand, eight hundred sixteen".