970560 has 84 divisors (see below), whose sum is σ = 3348228. Its totient is φ = 258048.

The previous prime is 970549. The next prime is 970561. The reversal of 970560 is 65079.

970560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 304704 + 665856 = 552^2 + 816^2 .

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 970560.

It is not an unprimeable number, because it can be changed into a prime (970561) by changing a digit.

970560 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, 2712 + ... + 3048.

2⁹⁷⁰⁵⁶⁰ is an apocalyptic number.

970560 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 970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674114).

970560 is an abundant number, since it is smaller than the sum of its proper divisors (2377668).

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

970560 is a wasteful number, since it uses less digits than its factorization.

970560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 970560 is about 985.1700360851. The cubic root of 970560 is about 99.0088758495.

The spelling of 970560 in words is "nine hundred seventy thousand, five hundred sixty".