872671968 has 180 divisors, whose sum is σ = 2985959592. Its totient is φ = 249298560.

The previous prime is 872671963. The next prime is 872671981. The reversal of 872671968 is 869176278.

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

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

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872671963) 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 29 ways as a sum of consecutive naturals, for example, 123573 + ... + 130443.

Almost surely, 2^872671968 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 872671968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492979796).

872671968 is an abundant number, since it is smaller than the sum of its proper divisors (2113287624).

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

872671968 is a wasteful number, since it uses less digits than its factorization.

872671968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6907 (or 6883 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 872671968 is about 29541.0217832762. The cubic root of 872671968 is about 955.6165779751.

The spelling of 872671968 in words is "eight hundred seventy-two million, six hundred seventy-one thousand, nine hundred sixty-eight".