920920 has 128 divisors (see below), whose sum is σ = 2903040. Its totient is φ = 253440.

The previous prime is 920891. The next prime is 920921. The reversal of 920920 is 29029.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 920891 and 920900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40029 + ... + 40051.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2⁹²⁰⁹²⁰ 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 920920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451520).

920920 is an abundant number, since it is smaller than the sum of its proper divisors (1982120).

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

920920 is a wasteful number, since it uses less digits than its factorization.

920920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 920920 is about 959.6457679790. The cubic root of 920920 is about 97.2912914489.

Adding to 920920 its reverse (29029), we get a palindrome (949949).

It can be divided in two parts, 9209 and 20, that added together give a palindrome (9229).

The spelling of 920920 in words is "nine hundred twenty thousand, nine hundred twenty".