971979080 has 128 divisors (see below), whose sum is σ = 2500761600. Its totient is φ = 337784832.

The previous prime is 971979079. The next prime is 971979101. The reversal of 971979080 is 80979179.

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, 452489 + ... + 454631.

It is an arithmetic number, because the mean of its divisors is an integer number (19537200).

Almost surely, 2^971979080 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 971979080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250380800).

971979080 is an abundant number, since it is smaller than the sum of its proper divisors (1528782520).

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

971979080 is a wasteful number, since it uses less digits than its factorization.

971979080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 50.

The square root of 971979080 is about 31176.5790297781. The cubic root of 971979080 is about 990.5710680003.

The spelling of 971979080 in words is "nine hundred seventy-one million, nine hundred seventy-nine thousand, eighty".