8093388240 has 480 divisors, whose sum is σ = 32979674880. Its totient is φ = 1787028480.

The previous prime is 8093388239. The next prime is 8093388241. The reversal of 8093388240 is 428833908.

It is an interprime number because it is at equal distance from previous prime (8093388239) and next prime (8093388241).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8093388241) 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 95 ways as a sum of consecutive naturals, for example, 14530042 + ... + 14530598.

It is an arithmetic number, because the mean of its divisors is an integer number (68707656).

Almost surely, 2^8093388240 is an apocalyptic number.

8093388240 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 8093388240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16489837440).

8093388240 is an abundant number, since it is smaller than the sum of its proper divisors (24886286640).

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

8093388240 is a wasteful number, since it uses less digits than its factorization.

8093388240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 8093388240 is about 89963.2605011624. The cubic root of 8093388240 is about 2007.7522656972.

The spelling of 8093388240 in words is "eight billion, ninety-three million, three hundred eighty-eight thousand, two hundred forty".