883920 has 80 divisors (see below), whose sum is σ = 2856960. Its totient is φ = 225792.

The previous prime is 883889. The next prime is 883921. The reversal of 883920 is 29388.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 883920.

It is not an unprimeable number, because it can be changed into a prime (883921) by changing a digit.

883920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 6897 + ... + 7023.

It is an arithmetic number, because the mean of its divisors is an integer number (35712).

2⁸⁸³⁹²⁰ is an apocalyptic number.

883920 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 883920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428480).

883920 is an abundant number, since it is smaller than the sum of its proper divisors (1973040).

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

883920 is a wasteful number, since it uses less digits than its factorization.

883920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 883920 is about 940.1701973579. The cubic root of 883920 is about 95.9704770328.

The spelling of 883920 in words is "eight hundred eighty-three thousand, nine hundred twenty".