920384 has 28 divisors (see below), whose sum is σ = 1860804. Its totient is φ = 451584.

The previous prime is 920377. The next prime is 920393. The reversal of 920384 is 483029.

It can be written as a sum of positive squares in 2 ways, for example, as 760384 + 160000 = 872^2 + 400^2 .

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 920384.

It is an unprimeable number.

920384 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4574 + ... + 4770.

2⁹²⁰³⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930402).

920384 is an abundant number, since it is smaller than the sum of its proper divisors (940420).

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

920384 is a wasteful number, since it uses less digits than its factorization.

920384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 920384 is about 959.3664576167. The cubic root of 920384 is about 97.2724124103.

The spelling of 920384 in words is "nine hundred twenty thousand, three hundred eighty-four".