1971680928 has 96 divisors (see below), whose sum is σ = 5922040320. Its totient is φ = 562671360.

The previous prime is 1971680923. The next prime is 1971680933. The reversal of 1971680928 is 8290861791.

It is an interprime number because it is at equal distance from previous prime (1971680923) and next prime (1971680933).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1971680923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 979443 + ... + 981453.

It is an arithmetic number, because the mean of its divisors is an integer number (61687920).

Almost surely, 2^1971680928 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 1971680928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2961020160).

1971680928 is an abundant number, since it is smaller than the sum of its proper divisors (3950359392).

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

1971680928 is a wasteful number, since it uses less digits than its factorization.

1971680928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3490 (or 3482 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 51.

The square root of 1971680928 is about 44403.6139069783. The cubic root of 1971680928 is about 1253.9461273276.

The spelling of 1971680928 in words is "one billion, nine hundred seventy-one million, six hundred eighty thousand, nine hundred twenty-eight".