8973840 has 80 divisors (see below), whose sum is σ = 28123200. Its totient is φ = 2366976.

The previous prime is 8973821. The next prime is 8973857. The reversal of 8973840 is 483798.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33226 + ... + 33494.

It is an arithmetic number, because the mean of its divisors is an integer number (351540).

Almost surely, 2^8973840 is an apocalyptic number.

8973840 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 8973840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14061600).

8973840 is an abundant number, since it is smaller than the sum of its proper divisors (19149360).

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

8973840 is a wasteful number, since it uses less digits than its factorization.

8973840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 8973840 is about 2995.6368271204. The cubic root of 8973840 is about 207.8066497119.

The spelling of 8973840 in words is "eight million, nine hundred seventy-three thousand, eight hundred forty".