8384538960 has 320 divisors, whose sum is σ = 33682368000. Its totient is φ = 1916296704.

The previous prime is 8384538959. The next prime is 8384538961. The reversal of 8384538960 is 698354838.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8384538959) and next prime (8384538961).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8384538897 and 8384538906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8384538961) 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, 735222 + ... + 746538.

It is an arithmetic number, because the mean of its divisors is an integer number (105257400).

Almost surely, 2^8384538960 is an apocalyptic number.

8384538960 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 8384538960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16841184000).

8384538960 is an abundant number, since it is smaller than the sum of its proper divisors (25297829040).

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

8384538960 is a wasteful number, since it uses less digits than its factorization.

8384538960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11360 (or 11334 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 8384538960 is about 91567.1281628948. The cubic root of 8384538960 is about 2031.5447615665.

The spelling of 8384538960 in words is "eight billion, three hundred eighty-four million, five hundred thirty-eight thousand, nine hundred sixty".