971919680 has 56 divisors (see below), whose sum is σ = 2318336232. Its totient is φ = 388104192.

The previous prime is 971919679. The next prime is 971919691. The reversal of 971919680 is 86919179.

It can be written as a sum of positive squares in 4 ways, for example, as 21307456 + 950612224 = 4616^2 + 30832^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213104 + ... + 217616.

Almost surely, 2^971919680 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 971919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159168116).

971919680 is an abundant number, since it is smaller than the sum of its proper divisors (1346416552).

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

971919680 is a wasteful number, since it uses less digits than its factorization.

971919680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5203 (or 5193 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 50.

The square root of 971919680 is about 31175.6263770273. The cubic root of 971919680 is about 990.5508888554.

The spelling of 971919680 in words is "nine hundred seventy-one million, nine hundred nineteen thousand, six hundred eighty".