893920 has 48 divisors (see below), whose sum is σ = 2183328. Its totient is φ = 345600.

The previous prime is 893917. The next prime is 893929. The reversal of 893920 is 29398.

It is a happy number.

893920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (893929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5845 + ... + 5995.

It is an arithmetic number, because the mean of its divisors is an integer number (45486).

2⁸⁹³⁹²⁰ is an apocalyptic number.

893920 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 893920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091664).

893920 is an abundant number, since it is smaller than the sum of its proper divisors (1289408).

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

893920 is a wasteful number, since it uses less digits than its factorization.

893920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 893920 is about 945.4734263849. The cubic root of 893920 is about 96.3310331250.

The spelling of 893920 in words is "eight hundred ninety-three thousand, nine hundred twenty".