970632320 has 256 divisors, whose sum is σ = 2843596800. Its totient is φ = 309657600.

The previous prime is 970632307. The next prime is 970632331. The reversal of 970632320 is 23236079.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4027400 + ... + 4027640.

It is an arithmetic number, because the mean of its divisors is an integer number (11107800).

Almost surely, 2^970632320 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 970632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421798400).

970632320 is an abundant number, since it is smaller than the sum of its proper divisors (1872964480).

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

970632320 is a wasteful number, since it uses less digits than its factorization.

970632320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 32.

The square root of 970632320 is about 31154.9726368039. The cubic root of 970632320 is about 990.1133496036.

Adding to 970632320 its reverse (23236079), we get a palindrome (993868399).

The spelling of 970632320 in words is "nine hundred seventy million, six hundred thirty-two thousand, three hundred twenty".