970568352 has 432 divisors, whose sum is σ = 3397826880. Its totient is φ = 268849152.

The previous prime is 970568327. The next prime is 970568353. The reversal of 970568352 is 253865079.

It is a happy number.

970568352 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 (432).

It is a junction number, because it is equal to n+sod(n) for n = 970568298 and 970568307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (970568353) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42198613 + ... + 42198635.

It is an arithmetic number, because the mean of its divisors is an integer number (7865340).

Almost surely, 2^970568352 is an apocalyptic number.

970568352 is a gapful number since it is divisible by the number (92) 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 970568352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698913440).

970568352 is an abundant number, since it is smaller than the sum of its proper divisors (2427258528).

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

970568352 is a wasteful number, since it uses less digits than its factorization.

970568352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 970568352 is about 31153.9460100964. The cubic root of 970568352 is about 990.0915985036.

The spelling of 970568352 in words is "nine hundred seventy million, five hundred sixty-eight thousand, three hundred fifty-two".