970441668 has 384 divisors, whose sum is σ = 3290112000. Its totient is φ = 245887488.

The previous prime is 970441631. The next prime is 970441687. The reversal of 970441668 is 866144079.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14484171 + ... + 14484237.

It is an arithmetic number, because the mean of its divisors is an integer number (8568000).

Almost surely, 2^970441668 is an apocalyptic number.

970441668 is a gapful number since it is divisible by the number (98) 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 970441668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645056000).

970441668 is an abundant number, since it is smaller than the sum of its proper divisors (2319670332).

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

970441668 is a wasteful number, since it uses less digits than its factorization.

970441668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 970441668 is about 31151.9127502630. The cubic root of 970441668 is about 990.0485192015.

The spelling of 970441668 in words is "nine hundred seventy million, four hundred forty-one thousand, six hundred sixty-eight".