970920 has 128 divisors (see below), whose sum is σ = 3456000. Its totient is φ = 241920.

The previous prime is 970909. The next prime is 970927. The reversal of 970920 is 29079.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (970927) by changing a digit.

970920 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 31 ways as a sum of consecutive naturals, for example, 31305 + ... + 31335.

It is an arithmetic number, because the mean of its divisors is an integer number (27000).

2⁹⁷⁰⁹²⁰ is an apocalyptic number.

970920 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 970920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728000).

970920 is an abundant number, since it is smaller than the sum of its proper divisors (2485080).

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

970920 is a wasteful number, since it uses less digits than its factorization.

970920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 970920 is about 985.3527287221. The cubic root of 970920 is about 99.0211157897.

Adding to 970920 its reverse (29079), we get a palindrome (999999).

The spelling of 970920 in words is "nine hundred seventy thousand, nine hundred twenty".