970687872 has 384 divisors, whose sum is σ = 3605022720. Its totient is φ = 243302400.

The previous prime is 970687853. The next prime is 970687873. The reversal of 970687872 is 278786079.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (970687873) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2749648 + ... + 2750000.

It is an arithmetic number, because the mean of its divisors is an integer number (9388080).

Almost surely, 2^970687872 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 970687872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802511360).

970687872 is an abundant number, since it is smaller than the sum of its proper divisors (2634334848).

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

970687872 is a wasteful number, since it uses less digits than its factorization.

970687872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The square root of 970687872 is about 31155.8641671195. The cubic root of 970687872 is about 990.1322382279.

The spelling of 970687872 in words is "nine hundred seventy million, six hundred eighty-seven thousand, eight hundred seventy-two".