920352 has 24 divisors (see below), whose sum is σ = 2416176. Its totient is φ = 306752.

The previous prime is 920333. The next prime is 920357. The reversal of 920352 is 253029.

It is a tau number, because it is divible by the number of its divisors (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 920352.

It is not an unprimeable number, because it can be changed into a prime (920357) by changing a digit.

920352 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, 4698 + ... + 4889.

It is an arithmetic number, because the mean of its divisors is an integer number (100674).

2⁹²⁰³⁵² is an apocalyptic number.

It is an amenable number.

920352 is an abundant number, since it is smaller than the sum of its proper divisors (1495824).

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

920352 is a wasteful number, since it uses less digits than its factorization.

920352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9600 (or 9592 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 920352 is about 959.3497797988. The cubic root of 920352 is about 97.2712850717.

The spelling of 920352 in words is "nine hundred twenty thousand, three hundred fifty-two".