1671180768 has 192 divisors, whose sum is σ = 5000486400. Its totient is φ = 542868480.

The previous prime is 1671180761. The next prime is 1671180779. The reversal of 1671180768 is 8670811761.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1671180761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7920183 + ... + 7920393.

It is an arithmetic number, because the mean of its divisors is an integer number (26044200).

Almost surely, 2^1671180768 is an apocalyptic number.

1671180768 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 1671180768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2500243200).

1671180768 is an abundant number, since it is smaller than the sum of its proper divisors (3329305632).

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

1671180768 is a wasteful number, since it uses less digits than its factorization.

1671180768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The square root of 1671180768 is about 40880.0778864229. The cubic root of 1671180768 is about 1186.7005483460.

It can be divided in two parts, 16711 and 80768, that added together give a palindrome (97479).

The spelling of 1671180768 in words is "one billion, six hundred seventy-one million, one hundred eighty thousand, seven hundred sixty-eight".