971987280 has 160 divisors (see below), whose sum is σ = 3297967488. Its totient is φ = 234854400.

The previous prime is 971987267. The next prime is 971987281. The reversal of 971987280 is 82789179.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971987281) by changing a digit.

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, 1470150 + ... + 1470810.

Almost surely, 2^971987280 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 971987280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648983744).

971987280 is an abundant number, since it is smaller than the sum of its proper divisors (2325980208).

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

971987280 is a wasteful number, since it uses less digits than its factorization.

971987280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 51.

The square root of 971987280 is about 31176.7105384773. The cubic root of 971987280 is about 990.5738536089.

The spelling of 971987280 in words is "nine hundred seventy-one million, nine hundred eighty-seven thousand, two hundred eighty".