8123871672 has 160 divisors (see below), whose sum is σ = 26394107520. Its totient is φ = 2286377280.

The previous prime is 8123871661. The next prime is 8123871677. The reversal of 8123871672 is 2761783218.

It is a super-3 number, since 3×8123871672³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8123871677) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 290547 + ... + 317277.

It is an arithmetic number, because the mean of its divisors is an integer number (164963172).

Almost surely, 2^8123871672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8123871672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13197053760).

8123871672 is an abundant number, since it is smaller than the sum of its proper divisors (18270235848).

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

8123871672 is a wasteful number, since it uses less digits than its factorization.

8123871672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26823 (or 26810 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 8123871672 is about 90132.5228316616. The cubic root of 8123871672 is about 2010.2698145258.

The spelling of 8123871672 in words is "eight billion, one hundred twenty-three million, eight hundred seventy-one thousand, six hundred seventy-two".