8813920 has 48 divisors (see below), whose sum is σ = 21506688. Its totient is φ = 3409920.

The previous prime is 8813897. The next prime is 8813921. The reversal of 8813920 is 293188.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8813921) 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 7 ways as a sum of consecutive naturals, for example, 4072 + ... + 5848.

It is an arithmetic number, because the mean of its divisors is an integer number (448056).

Almost surely, 2^8813920 is an apocalyptic number.

8813920 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 8813920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10753344).

8813920 is an abundant number, since it is smaller than the sum of its proper divisors (12692768).

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

8813920 is a wasteful number, since it uses less digits than its factorization.

8813920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 8813920 is about 2968.8246832711. The cubic root of 8813920 is about 206.5648243738.

The spelling of 8813920 in words is "eight million, eight hundred thirteen thousand, nine hundred twenty".