970320 has 80 divisors (see below), whose sum is σ = 3249792. Its totient is φ = 238080.

The previous prime is 970313. The next prime is 970351. The reversal of 970320 is 23079.

970320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 970320.

It is an unprimeable number.

970320 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 15 ways as a sum of consecutive naturals, for example, 2965 + ... + 3275.

2⁹⁷⁰³²⁰ 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 970320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624896).

970320 is an abundant number, since it is smaller than the sum of its proper divisors (2279472).

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

970320 is a wasteful number, since it uses less digits than its factorization.

970320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 970320 is about 985.0482221699. The cubic root of 970320 is about 99.0007142077. Note that the first 3 decimals are identical.

Subtracting from 970320 its sum of digits (21), we obtain a cube (970299 = 99³).

Adding to 970320 its reverse (23079), we get a palindrome (993399).

The spelling of 970320 in words is "nine hundred seventy thousand, three hundred twenty".