8313930240 has 640 divisors, whose sum is σ = 35128608768. Its totient is φ = 1623982080.

The previous prime is 8313930227. The next prime is 8313930259. The reversal of 8313930240 is 420393138.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10052707 + ... + 10053533.

Almost surely, 2^8313930240 is an apocalyptic number.

8313930240 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 8313930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17564304384).

8313930240 is an abundant number, since it is smaller than the sum of its proper divisors (26814678528).

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

8313930240 is a wasteful number, since it uses less digits than its factorization.

8313930240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 8313930240 is about 91180.7558643818. The cubic root of 8313930240 is about 2025.8259285943.

The spelling of 8313930240 in words is "eight billion, three hundred thirteen million, nine hundred thirty thousand, two hundred forty".