8603984160 has 192 divisors, whose sum is σ = 30625257600. Its totient is φ = 2255440896.

The previous prime is 8603984153. The next prime is 8603984167. The reversal of 8603984160 is 614893068.

It is an interprime number because it is at equal distance from previous prime (8603984153) and next prime (8603984167).

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

It is not an unprimeable number, because it can be changed into a prime (8603984167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238002 + ... + 271758.

It is an arithmetic number, because the mean of its divisors is an integer number (159506550).

Almost surely, 2^8603984160 is an apocalyptic number.

8603984160 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 8603984160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15312628800).

8603984160 is an abundant number, since it is smaller than the sum of its proper divisors (22021273440).

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

8603984160 is a wasteful number, since it uses less digits than its factorization.

8603984160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33840 (or 33826 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 8603984160 is about 92757.6636187005. The cubic root of 8603984160 is about 2049.1159511565.

The spelling of 8603984160 in words is "eight billion, six hundred three million, nine hundred eighty-four thousand, one hundred sixty".