970816960 has 112 divisors (see below), whose sum is σ = 2500481664. Its totient is φ = 357613568.

The previous prime is 970816937. The next prime is 970816961. The reversal of 970816960 is 69618079.

It is a self number, because there is not a number n which added to its sum of digits gives 970816960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (970816961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253782 + ... + 257578.

Almost surely, 2^970816960 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 970816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250240832).

970816960 is an abundant number, since it is smaller than the sum of its proper divisors (1529664704).

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

970816960 is a wasteful number, since it uses less digits than its factorization.

970816960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3878 (or 3868 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 46.

The square root of 970816960 is about 31157.9357467724. The cubic root of 970816960 is about 990.1761275592.

The spelling of 970816960 in words is "nine hundred seventy million, eight hundred sixteen thousand, nine hundred sixty".