970363680 has 384 divisors, whose sum is σ = 3661894656. Its totient is φ = 212889600.

The previous prime is 970363679. The next prime is 970363703. The reversal of 970363680 is 86363079.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4598775 + ... + 4598985.

It is an arithmetic number, because the mean of its divisors is an integer number (9536184).

Almost surely, 2^970363680 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 970363680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830947328).

970363680 is an abundant number, since it is smaller than the sum of its proper divisors (2691530976).

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

970363680 is a wasteful number, since it uses less digits than its factorization.

970363680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 970363680 is about 31150.6609881717. The cubic root of 970363680 is about 990.0219972666.

The spelling of 970363680 in words is "nine hundred seventy million, three hundred sixty-three thousand, six hundred eighty".