1971063216 has 120 divisors (see below), whose sum is σ = 5646977856. Its totient is φ = 641571840.

The previous prime is 1971063191. The next prime is 1971063221. The reversal of 1971063216 is 6123601791.

1971063216 is a `hidden beast` number, since 1 + 9 + 7 + 1 + 0 + 632 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2067796 + ... + 2068748.

Almost surely, 2^1971063216 is an apocalyptic number.

1971063216 is a gapful number since it is divisible by the number (16) 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 1971063216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823488928).

1971063216 is an abundant number, since it is smaller than the sum of its proper divisors (3675914640).

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

1971063216 is a wasteful number, since it uses less digits than its factorization.

1971063216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1971063216 is about 44396.6577120395. The cubic root of 1971063216 is about 1253.8151631905.

The spelling of 1971063216 in words is "one billion, nine hundred seventy-one million, sixty-three thousand, two hundred sixteen".