1971804672 has 120 divisors (see below), whose sum is σ = 5715378240. Its totient is φ = 654428160.

The previous prime is 1971804671. The next prime is 1971804683. The reversal of 1971804672 is 2764081791.

It is a happy number.

1971804672 is a `hidden beast` number, since 1 + 9 + 7 + 180 + 467 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (1971804671) 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 11 ways as a sum of consecutive naturals, for example, 1247979 + ... + 1249557.

It is an arithmetic number, because the mean of its divisors is an integer number (47628152).

Almost surely, 2^1971804672 is an apocalyptic number.

1971804672 is a gapful number since it is divisible by the number (12) 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 1971804672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857689120).

1971804672 is an abundant number, since it is smaller than the sum of its proper divisors (3743573568).

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

1971804672 is a wasteful number, since it uses less digits than its factorization.

1971804672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 1971804672 is about 44405.0072852150. The cubic root of 1971804672 is about 1253.9723596084.

The spelling of 1971804672 in words is "one billion, nine hundred seventy-one million, eight hundred four thousand, six hundred seventy-two".