8893920 has 96 divisors (see below), whose sum is σ = 32030208. Its totient is φ = 2032128.

The previous prime is 8893901. The next prime is 8893921. The reversal of 8893920 is 293988.

8893920 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8893921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2037 + ... + 4683.

It is an arithmetic number, because the mean of its divisors is an integer number (333648).

Almost surely, 2^8893920 is an apocalyptic number.

8893920 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 8893920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16015104).

8893920 is an abundant number, since it is smaller than the sum of its proper divisors (23136288).

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

8893920 is a wasteful number, since it uses less digits than its factorization.

8893920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 8893920 is about 2982.2675936274. The cubic root of 8893920 is about 207.1879084391.

The spelling of 8893920 in words is "eight million, eight hundred ninety-three thousand, nine hundred twenty".