1671975648 has 288 divisors, whose sum is σ = 5761113120. Its totient is φ = 470292480.

The previous prime is 1671975629. The next prime is 1671975659. The reversal of 1671975648 is 8465791761.

1671975648 is a `hidden beast` number, since 1 + 6 + 71 + 9 + 7 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1671975594 and 1671975603.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3090258 + ... + 3090798.

It is an arithmetic number, because the mean of its divisors is an integer number (20003865).

Almost surely, 2^1671975648 is an apocalyptic number.

1671975648 is a gapful number since it is divisible by the number (18) 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 1671975648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880556560).

1671975648 is an abundant number, since it is smaller than the sum of its proper divisors (4089137472).

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

1671975648 is a wasteful number, since it uses less digits than its factorization.

1671975648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 626 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 1671975648 is about 40889.7988256240. The cubic root of 1671975648 is about 1186.8886658405. Note that the first 3 decimals are identical.

The spelling of 1671975648 in words is "one billion, six hundred seventy-one million, nine hundred seventy-five thousand, six hundred forty-eight".