971966880 has 72 divisors (see below), whose sum is σ = 3316841892. Its totient is φ = 259190784.

The previous prime is 971966861. The next prime is 971966899. The reversal of 971966880 is 88669179.

971966880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (971966861) and next prime (971966899).

It can be written as a sum of positive squares in 2 ways, for example, as 959264784 + 12702096 = 30972^2 + 3564^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 336049 + ... + 338928.

Almost surely, 2^971966880 is an apocalyptic number.

971966880 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

971966880 is an abundant number, since it is smaller than the sum of its proper divisors (2344875012).

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

971966880 is a wasteful number, since it uses less digits than its factorization.

971966880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674998 (or 674987 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 971966880 is about 31176.3833694673. The cubic root of 971966880 is about 990.5669235292.

The spelling of 971966880 in words is "nine hundred seventy-one million, nine hundred sixty-six thousand, eight hundred eighty".