8816400 has 180 divisors, whose sum is σ = 31982080. Its totient is φ = 2246400.

The previous prime is 8816359. The next prime is 8816447. The reversal of 8816400 is 46188.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 111561 + ... + 111639.

Almost surely, 2^8816400 is an apocalyptic number.

8816400 is a gapful number since it is divisible by the number (80) 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 8816400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15991040).

8816400 is an abundant number, since it is smaller than the sum of its proper divisors (23165680).

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

8816400 is a wasteful number, since it uses less digits than its factorization.

8816400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8816400 is about 2969.2423275981. The cubic root of 8816400 is about 206.5841964854.

It can be divided in two parts, 8816 and 400, that added together give a square (9216 = 96²).

The spelling of 8816400 in words is "eight million, eight hundred sixteen thousand, four hundred".