930920 has 48 divisors (see below), whose sum is σ = 2279340. Its totient is φ = 340992.

The previous prime is 930911. The next prime is 930931. The reversal of 930920 is 29039.

930920 = T₁₆₅ + T₁₆₆ + ... + T₂₁₅.

It can be written as a sum of positive squares in 6 ways, for example, as 872356 + 58564 = 934^2 + 242^2 .

It is a super-2 number, since 2×930920² = 1733224092800, which contains 22 as substring.

It is an unprimeable number.

930920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25142 + ... + 25178.

2⁹³⁰⁹²⁰ 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 930920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139670).

930920 is an abundant number, since it is smaller than the sum of its proper divisors (1348420).

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

930920 is a wasteful number, since it uses less digits than its factorization.

930920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 23.

The square root of 930920 is about 964.8419559700. The cubic root of 930920 is about 97.6421769694.

Adding to 930920 its reverse (29039), we get a palindrome (959959).

The spelling of 930920 in words is "nine hundred thirty thousand, nine hundred twenty".