971656620 has 192 divisors, whose sum is σ = 3128509440. Its totient is φ = 225311680.

The previous prime is 971656541. The next prime is 971656627. The reversal of 971656620 is 26656179.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1265 × 759 × 1012.

It is not an unprimeable number, because it can be changed into a prime (971656627) 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 63 ways as a sum of consecutive naturals, for example, 42245929 + ... + 42245951.

It is an arithmetic number, because the mean of its divisors is an integer number (16294320).

Almost surely, 2^971656620 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 971656620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564254720).

971656620 is an abundant number, since it is smaller than the sum of its proper divisors (2156852820).

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

971656620 is a wasteful number, since it uses less digits than its factorization.

971656620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 971656620 is about 31171.4070904732. The cubic root of 971656620 is about 990.4615132157.

The spelling of 971656620 in words is "nine hundred seventy-one million, six hundred fifty-six thousand, six hundred twenty".