8224688160 has 240 divisors, whose sum is σ = 31259727576. Its totient is φ = 2024497152.

The previous prime is 8224688141. The next prime is 8224688177. The reversal of 8224688160 is 618864228.

8224688160 is a `hidden beast` number, since 8 + 22 + 468 + 8 + 160 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4683486096 + 3541202064 = 68436^2 + 59508^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 144072 + ... + 192888.

Almost surely, 2^8224688160 is an apocalyptic number.

8224688160 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 8224688160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15629863788).

8224688160 is an abundant number, since it is smaller than the sum of its proper divisors (23035039416).

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

8224688160 is a wasteful number, since it uses less digits than its factorization.

8224688160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48857 (or 48840 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 8224688160 is about 90690.0664902171. The cubic root of 8224688160 is about 2018.5514039924.

The spelling of 8224688160 in words is "eight billion, two hundred twenty-four million, six hundred eighty-eight thousand, one hundred sixty".