8973120 has 112 divisors (see below), whose sum is σ = 30723840. Its totient is φ = 2205696.

The previous prime is 8973113. The next prime is 8973121. The reversal of 8973120 is 213798.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8973121) 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, 12121 + ... + 12839.

It is an arithmetic number, because the mean of its divisors is an integer number (274320).

Almost surely, 2^8973120 is an apocalyptic number.

8973120 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 8973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15361920).

8973120 is an abundant number, since it is smaller than the sum of its proper divisors (21750720).

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

8973120 is a wasteful number, since it uses less digits than its factorization.

8973120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 8973120 is about 2995.5166499287. The cubic root of 8973120 is about 207.8010918983.

The spelling of 8973120 in words is "eight million, nine hundred seventy-three thousand, one hundred twenty".