8314081920 has 512 divisors, whose sum is σ = 31197312000. Its totient is φ = 2089156608.

The previous prime is 8314081913. The next prime is 8314081927. The reversal of 8314081920 is 291804138.

It is an interprime number because it is at equal distance from previous prime (8314081913) and next prime (8314081927).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8314081927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23552464 + ... + 23552816.

It is an arithmetic number, because the mean of its divisors is an integer number (60932250).

Almost surely, 2^8314081920 is an apocalyptic number.

8314081920 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 8314081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15598656000).

8314081920 is an abundant number, since it is smaller than the sum of its proper divisors (22883230080).

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

8314081920 is a wasteful number, since it uses less digits than its factorization.

8314081920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8314081920 is about 91181.5876150443. The cubic root of 8314081920 is about 2025.8382482955.

The spelling of 8314081920 in words is "eight billion, three hundred fourteen million, eighty-one thousand, nine hundred twenty".