1671268872 has 320 divisors, whose sum is σ = 5533879680. Its totient is φ = 417263616.

The previous prime is 1671268871. The next prime is 1671268877. The reversal of 1671268872 is 2788621761.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1671268871) 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 79 ways as a sum of consecutive naturals, for example, 17229528 + ... + 17229624.

It is an arithmetic number, because the mean of its divisors is an integer number (17293374).

Almost surely, 2^1671268872 is an apocalyptic number.

1671268872 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 1671268872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766939840).

1671268872 is an abundant number, since it is smaller than the sum of its proper divisors (3862610808).

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

1671268872 is a wasteful number, since it uses less digits than its factorization.

1671268872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 145 counting only the distinct ones).

The product of its digits is 451584, while the sum is 48.

The square root of 1671268872 is about 40881.1554631226. The cubic root of 1671268872 is about 1186.7214021099.

The spelling of 1671268872 in words is "one billion, six hundred seventy-one million, two hundred sixty-eight thousand, eight hundred seventy-two".