1971064320 has 320 divisors, whose sum is σ = 6901272576. Its totient is φ = 477757440.

The previous prime is 1971064279. The next prime is 1971064321. The reversal of 1971064320 is 234601791.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1971064321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4047117 + ... + 4047603.

Almost surely, 2^1971064320 is an apocalyptic number.

1971064320 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 1971064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3450636288).

1971064320 is an abundant number, since it is smaller than the sum of its proper divisors (4930208256).

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

1971064320 is a wasteful number, since it uses less digits than its factorization.

1971064320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 1971064320 is about 44396.6701454062. The cubic root of 1971064320 is about 1253.8153972793.

The spelling of 1971064320 in words is "one billion, nine hundred seventy-one million, sixty-four thousand, three hundred twenty".