8473920 has 224 divisors, whose sum is σ = 33454848. Its totient is φ = 1769472.

The previous prime is 8473919. The next prime is 8473951. The reversal of 8473920 is 293748.

It is a Cunningham number, because it is equal to 2911²-1.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87312 + ... + 87408.

It is an arithmetic number, because the mean of its divisors is an integer number (149352).

Almost surely, 2^8473920 is an apocalyptic number.

8473920 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 8473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16727424).

8473920 is an abundant number, since it is smaller than the sum of its proper divisors (24980928).

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

8473920 is a wasteful number, since it uses less digits than its factorization.

8473920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 8473920 is about 2910.9998282377. Note that the first 3 decimals coincide. The cubic root of 8473920 is about 203.8738166218.

The spelling of 8473920 in words is "eight million, four hundred seventy-three thousand, nine hundred twenty".