8906400 has 108 divisors (see below), whose sum is σ = 31431582. Its totient is φ = 2373120.

The previous prime is 8906399. The next prime is 8906407. The reversal of 8906400 is 46098.

It can be written as a sum of positive squares in 3 ways, for example, as 7551504 + 1354896 = 2748^2 + 1164^2 .

It is not an unprimeable number, because it can be changed into a prime (8906407) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 6582 + ... + 7818.

Almost surely, 2^8906400 is an apocalyptic number.

8906400 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 8906400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15715791).

8906400 is an abundant number, since it is smaller than the sum of its proper divisors (22525182).

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

8906400 is a wasteful number, since it uses less digits than its factorization.

8906400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 8906400 is about 2984.3592277070. The cubic root of 8906400 is about 207.2847722372.

The spelling of 8906400 in words is "eight million, nine hundred six thousand, four hundred".