80971000 has 128 divisors (see below), whose sum is σ = 219360960. Its totient is φ = 27648000.

The previous prime is 80970961. The next prime is 80971001. The reversal of 80971000 is 17908.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80971001) 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 31 ways as a sum of consecutive naturals, for example, 186784 + ... + 187216.

Almost surely, 2^80971000 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 80971000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109680480).

80971000 is an abundant number, since it is smaller than the sum of its proper divisors (138389960).

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

80971000 is a wasteful number, since it uses less digits than its factorization.

80971000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 80971000 is about 8998.3887446587. The cubic root of 80971000 is about 432.6232288329.

Adding to 80971000 its reverse (17908), we get a palindrome (80988908).

The spelling of 80971000 in words is "eighty million, nine hundred seventy-one thousand".