1671591168 has 378 divisors, whose sum is σ = 5519324286. Its totient is φ = 504631296.

The previous prime is 1671591161. The next prime is 1671591169. The reversal of 1671591168 is 8611951761.

It can be written as a sum of positive squares in 3 ways, for example, as 22581504 + 1649009664 = 4752^2 + 40608^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1671591161) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 31539430 + ... + 31539482.

It is an arithmetic number, because the mean of its divisors is an integer number (14601387).

Almost surely, 2^1671591168 is an apocalyptic number.

1671591168 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 1671591168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759662143).

1671591168 is an abundant number, since it is smaller than the sum of its proper divisors (3847733118).

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

1671591168 is an frugal number, since it uses more digits than its factorization.

1671591168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 71 counting only the distinct ones).

The product of its digits is 90720, while the sum is 45.

The square root of 1671591168 is about 40885.0971381994. The cubic root of 1671591168 is about 1186.7976816729.

The spelling of 1671591168 in words is "one billion, six hundred seventy-one million, five hundred ninety-one thousand, one hundred sixty-eight".