971880000 has 560 divisors, whose sum is σ = 3999219840. Its totient is φ = 202752000.

The previous prime is 971879971. The next prime is 971880017. The reversal of 971880000 is 88179.

It is a tau number, because it is divible by the number of its divisors (560).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10919956 + ... + 10920044.

It is an arithmetic number, because the mean of its divisors is an integer number (7141464).

Almost surely, 2^971880000 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 971880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999609920).

971880000 is an abundant number, since it is smaller than the sum of its proper divisors (3027339840).

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

971880000 is a wasteful number, since it uses less digits than its factorization.

971880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The square root of 971880000 is about 31174.9899759406. The cubic root of 971880000 is about 990.5374084568.

The spelling of 971880000 in words is "nine hundred seventy-one million, eight hundred eighty thousand".