8956540320 has 288 divisors, whose sum is σ = 34916821632. Its totient is φ = 1889611776.

The previous prime is 8956540319. The next prime is 8956540337. The reversal of 8956540320 is 230456598.

8956540320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 94639²-1.

It is a super-2 number, since 2×8956540320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 559954 + ... + 575726.

It is an arithmetic number, because the mean of its divisors is an integer number (121238964).

Almost surely, 2^8956540320 is an apocalyptic number.

8956540320 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 8956540320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17458410816).

8956540320 is an abundant number, since it is smaller than the sum of its proper divisors (25960281312).

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

8956540320 is a wasteful number, since it uses less digits than its factorization.

8956540320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15824 (or 15803 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 8956540320 is about 94638.9999947168. Note that the first 5 decimals coincide. The cubic root of 8956540320 is about 2076.7302794212.

The spelling of 8956540320 in words is "eight billion, nine hundred fifty-six million, five hundred forty thousand, three hundred twenty".