920960 has 32 divisors (see below), whose sum is σ = 2203200. Its totient is φ = 368128.

The previous prime is 920957. The next prime is 920963. The reversal of 920960 is 69029.

It is an interprime number because it is at equal distance from previous prime (920957) and next prime (920963).

It is a tau number, because it is divible by the number of its divisors (32).

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 920960.

It is not an unprimeable number, because it can be changed into a prime (920963) 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, 80 + ... + 1359.

It is an arithmetic number, because the mean of its divisors is an integer number (68850).

2⁹²⁰⁹⁶⁰ 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 920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101600).

920960 is an abundant number, since it is smaller than the sum of its proper divisors (1282240).

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

920960 is a wasteful number, since it uses less digits than its factorization.

920960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 920960 is about 959.6666087762. Note that the first 4 decimals coincide. The cubic root of 920960 is about 97.2927000386.

Adding to 920960 its reverse (69029), we get a palindrome (989989).

The spelling of 920960 in words is "nine hundred twenty thousand, nine hundred sixty".