849920 has 48 divisors (see below), whose sum is σ = 2063880. Its totient is φ = 335872.

The previous prime is 849917. The next prime is 849923. The reversal of 849920 is 29948.

It is an interprime number because it is at equal distance from previous prime (849917) and next prime (849923).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 2.

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 849920.

It is not an unprimeable number, because it can be changed into a prime (849923) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 10199 + ... + 10281.

2⁸⁴⁹⁹²⁰ is an apocalyptic number.

849920 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 849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031940).

849920 is an abundant number, since it is smaller than the sum of its proper divisors (1213960).

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

849920 is an equidigital number, since it uses as much as digits as its factorization.

849920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 849920 is about 921.9110586168. The cubic root of 849920 is about 94.7238518034.

The spelling of 849920 in words is "eight hundred forty-nine thousand, nine hundred twenty".