8814673920 has 480 divisors, whose sum is σ = 31707970560. Its totient is φ = 2076180480.

The previous prime is 8814673867. The next prime is 8814673957. The reversal of 8814673920 is 293764188.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8814673920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99041236 + ... + 99041324.

It is an arithmetic number, because the mean of its divisors is an integer number (66058272).

Almost surely, 2^8814673920 is an apocalyptic number.

8814673920 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 8814673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15853985280).

8814673920 is an abundant number, since it is smaller than the sum of its proper divisors (22893296640).

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

8814673920 is a wasteful number, since it uses less digits than its factorization.

8814673920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 8814673920 is about 93886.4948754612. The cubic root of 8814673920 is about 2065.7071388014.

The spelling of 8814673920 in words is "eight billion, eight hundred fourteen million, six hundred seventy-three thousand, nine hundred twenty".