970688016 has 80 divisors (see below), whose sum is σ = 2791190400. Its totient is φ = 322987392.

The previous prime is 970688011. The next prime is 970688041. The reversal of 970688016 is 610886079.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (970688011) 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, 290805 + ... + 294123.

It is an arithmetic number, because the mean of its divisors is an integer number (34889880).

Almost surely, 2^970688016 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 970688016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395595200).

970688016 is an abundant number, since it is smaller than the sum of its proper divisors (1820502384).

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

970688016 is a wasteful number, since it uses less digits than its factorization.

970688016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4013 (or 4001 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 970688016 is about 31155.8664780808. The cubic root of 970688016 is about 990.1322871894.

The spelling of 970688016 in words is "nine hundred seventy million, six hundred eighty-eight thousand, sixteen".