8838816 has 72 divisors (see below), whose sum is σ = 27004320. Its totient is φ = 2524032.

The previous prime is 8838803. The next prime is 8838833. The reversal of 8838816 is 6188388.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 3765 + ... + 5643.

It is an arithmetic number, because the mean of its divisors is an integer number (375060).

Almost surely, 2^8838816 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 8838816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13502160).

8838816 is an abundant number, since it is smaller than the sum of its proper divisors (18165504).

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

8838816 is a wasteful number, since it uses less digits than its factorization.

8838816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1891 counting only the distinct ones).

The product of its digits is 73728, while the sum is 42.

The square root of 8838816 is about 2973.0146316492. The cubic root of 8838816 is about 206.7591307834.

The spelling of 8838816 in words is "eight million, eight hundred thirty-eight thousand, eight hundred sixteen".