8948367360 has 360 divisors, whose sum is σ = 31743358920. Its totient is φ = 2330984448.

The previous prime is 8948367343. The next prime is 8948367427. The reversal of 8948367360 is 637638498.

It can be written as a sum of positive squares in 4 ways, for example, as 3681091584 + 5267275776 = 60672^2 + 72576^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a junction number, because it is equal to n+sod(n) for n = 8948367297 and 8948367306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39075726 + ... + 39075954.

It is an arithmetic number, because the mean of its divisors is an integer number (88175997).

Almost surely, 2^8948367360 is an apocalyptic number.

8948367360 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 8948367360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15871679460).

8948367360 is an abundant number, since it is smaller than the sum of its proper divisors (22794991560).

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

8948367360 is a wasteful number, since it uses less digits than its factorization.

8948367360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 8948367360 is about 94595.8104780545. The cubic root of 8948367360 is about 2076.0984060184.

The spelling of 8948367360 in words is "eight billion, nine hundred forty-eight million, three hundred sixty-seven thousand, three hundred sixty".