8971880 has 32 divisors (see below), whose sum is σ = 20523240. Its totient is φ = 3528960.

The previous prime is 8971873. The next prime is 8971883. The reversal of 8971880 is 881798.

It can be written as a sum of positive squares in 4 ways, for example, as 6061444 + 2910436 = 2462^2 + 1706^2 .

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (8971883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 602 + ... + 4278.

Almost surely, 2^8971880 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 8971880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10261620).

8971880 is an abundant number, since it is smaller than the sum of its proper divisors (11551360).

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

8971880 is a wasteful number, since it uses less digits than its factorization.

8971880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3749 (or 3745 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 41.

The square root of 8971880 is about 2995.3096667957. The cubic root of 8971880 is about 207.7915194113.

It can be divided in two parts, 89718 and 80, that added together give a palindrome (89798).

The spelling of 8971880 in words is "eight million, nine hundred seventy-one thousand, eight hundred eighty".