80671968 has 144 divisors (see below), whose sum is σ = 255921120. Its totient is φ = 23933952.

The previous prime is 80671963. The next prime is 80671973. The reversal of 80671968 is 86917608.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (80671963) and next prime (80671973).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80671963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108205 + ... + 108947.

It is an arithmetic number, because the mean of its divisors is an integer number (1777230).

Almost surely, 2^80671968 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 80671968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127960560).

80671968 is an abundant number, since it is smaller than the sum of its proper divisors (175249152).

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

80671968 is a wasteful number, since it uses less digits than its factorization.

80671968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 80671968 is about 8981.7575117568. The cubic root of 80671968 is about 432.0900018241.

The spelling of 80671968 in words is "eighty million, six hundred seventy-one thousand, nine hundred sixty-eight".