920064 has 40 divisors (see below), whose sum is σ = 2455200. Its totient is φ = 306176.

The previous prime is 920053. The next prime is 920107. The reversal of 920064 is 460029.

It is a self number, because there is not a number n which added to its sum of digits gives 920064.

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 920064.

It is an unprimeable number.

920064 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1237 + ... + 1835.

It is an arithmetic number, because the mean of its divisors is an integer number (61380).

2⁹²⁰⁰⁶⁴ 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 920064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227600).

920064 is an abundant number, since it is smaller than the sum of its proper divisors (1535136).

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

920064 is an equidigital number, since it uses as much as digits as its factorization.

920064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 920064 is about 959.1996663886. The cubic root of 920064 is about 97.2611378480.

The spelling of 920064 in words is "nine hundred twenty thousand, sixty-four".