8920400 has 60 divisors (see below), whose sum is σ = 22199100. Its totient is φ = 3440640.

The previous prime is 8920391. The next prime is 8920403. The reversal of 8920400 is 40298.

It can be written as a sum of positive squares in 6 ways, for example, as 300304 + 8620096 = 548^2 + 2936^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8920403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11216 + ... + 11984.

It is an arithmetic number, because the mean of its divisors is an integer number (369985).

Almost surely, 2^8920400 is an apocalyptic number.

8920400 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 8920400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11099550).

8920400 is an abundant number, since it is smaller than the sum of its proper divisors (13278700).

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

8920400 is a wasteful number, since it uses less digits than its factorization.

8920400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 8920400 is about 2986.7038688159. The cubic root of 8920400 is about 207.3933259210.

Adding to 8920400 its reverse (40298), we get a palindrome (8960698).

The spelling of 8920400 in words is "eight million, nine hundred twenty thousand, four hundred".