8388156960 has 192 divisors, whose sum is σ = 29591654400. Its totient is φ = 2219083776.

The previous prime is 8388156947. The next prime is 8388157003. The reversal of 8388156960 is 696518838.

It is a super-2 number, since 2×8388156960² (a number of 21 digits) contains 22 as substring.

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 = 8388156897 and 8388156906.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 540996 + ... + 556284.

It is an arithmetic number, because the mean of its divisors is an integer number (154123200).

Almost surely, 2^8388156960 is an apocalyptic number.

8388156960 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 8388156960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14795827200).

8388156960 is an abundant number, since it is smaller than the sum of its proper divisors (21203497440).

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

8388156960 is a wasteful number, since it uses less digits than its factorization.

8388156960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15440 (or 15426 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 8388156960 is about 91586.8820301248. The cubic root of 8388156960 is about 2031.8369291709.

The spelling of 8388156960 in words is "eight billion, three hundred eighty-eight million, one hundred fifty-six thousand, nine hundred sixty".