8822400 has 96 divisors (see below), whose sum is σ = 29090400. Its totient is φ = 2350080.

The previous prime is 8822377. The next prime is 8822413. The reversal of 8822400 is 42288.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9141 + ... + 10059.

It is an arithmetic number, because the mean of its divisors is an integer number (303025).

Almost surely, 2^8822400 is an apocalyptic number.

8822400 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 8822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14545200).

8822400 is an abundant number, since it is smaller than the sum of its proper divisors (20268000).

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

8822400 is a wasteful number, since it uses less digits than its factorization.

8822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 8822400 is about 2970.2525145179. The cubic root of 8822400 is about 206.6310494754.

Adding to 8822400 its reverse (42288), we get a palindrome (8864688).

The spelling of 8822400 in words is "eight million, eight hundred twenty-two thousand, four hundred".