8971040 has 96 divisors (see below), whose sum is σ = 24131520. Its totient is φ = 3124224.

The previous prime is 8971037. The next prime is 8971049. The reversal of 8971040 is 401798.

It is a junction number, because it is equal to n+sod(n) for n = 8970994 and 8971012.

It is not an unprimeable number, because it can be changed into a prime (8971049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39407 + ... + 39633.

It is an arithmetic number, because the mean of its divisors is an integer number (251370).

Almost surely, 2^8971040 is an apocalyptic number.

8971040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8971040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12065760).

8971040 is an abundant number, since it is smaller than the sum of its proper divisors (15160480).

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

8971040 is a wasteful number, since it uses less digits than its factorization.

8971040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 8971040 is about 2995.1694442886. The cubic root of 8971040 is about 207.7850343222.

The spelling of 8971040 in words is "eight million, nine hundred seventy-one thousand, forty".