8404920 has 96 divisors (see below), whose sum is σ = 28098720. Its totient is φ = 2177280.

The previous prime is 8404901. The next prime is 8404927. The reversal of 8404920 is 294048.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8404927) 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 23 ways as a sum of consecutive naturals, for example, 13005 + ... + 13635.

It is an arithmetic number, because the mean of its divisors is an integer number (292695).

Almost surely, 2^8404920 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 8404920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14049360).

8404920 is an abundant number, since it is smaller than the sum of its proper divisors (19693800).

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

8404920 is a wasteful number, since it uses less digits than its factorization.

8404920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8404920 is about 2899.1240056265. The cubic root of 8404920 is about 203.3189514747.

Adding to 8404920 its reverse (294048), we get a palindrome (8698968).

The spelling of 8404920 in words is "eight million, four hundred four thousand, nine hundred twenty".