1971308080 has 160 divisors (see below), whose sum is σ = 5345657856. Its totient is φ = 662172672.

The previous prime is 1971308071. The next prime is 1971308107. The reversal of 1971308080 is 808031791.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10006542 + ... + 10006738.

Almost surely, 2^1971308080 is an apocalyptic number.

1971308080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1971308080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2672828928).

1971308080 is an abundant number, since it is smaller than the sum of its proper divisors (3374349776).

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

1971308080 is a wasteful number, since it uses less digits than its factorization.

1971308080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 37.

The square root of 1971308080 is about 44399.4153114655. The cubic root of 1971308080 is about 1253.8670812756.

The spelling of 1971308080 in words is "one billion, nine hundred seventy-one million, three hundred eight thousand, eighty".