971937680 has 160 divisors (see below), whose sum is σ = 2742681600. Its totient is φ = 313099776.

The previous prime is 971937661. The next prime is 971937709. The reversal of 971937680 is 86739179.

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 31 ways as a sum of consecutive naturals, for example, 759281 + ... + 760559.

It is an arithmetic number, because the mean of its divisors is an integer number (17141760).

Almost surely, 2^971937680 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 971937680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371340800).

971937680 is an abundant number, since it is smaller than the sum of its proper divisors (1770743920).

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

971937680 is a wasteful number, since it uses less digits than its factorization.

971937680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 50.

The square root of 971937680 is about 31175.9150627532. The cubic root of 971937680 is about 990.5570038346.

The spelling of 971937680 in words is "nine hundred seventy-one million, nine hundred thirty-seven thousand, six hundred eighty".