8188960 has 96 divisors (see below), whose sum is σ = 21676032. Its totient is φ = 2903040.

The previous prime is 8188949. The next prime is 8188967. The reversal of 8188960 is 698818.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8188967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64417 + ... + 64543.

It is an arithmetic number, because the mean of its divisors is an integer number (225792).

Almost surely, 2^8188960 is an apocalyptic number.

8188960 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 8188960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10838016).

8188960 is an abundant number, since it is smaller than the sum of its proper divisors (13487072).

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

8188960 is a wasteful number, since it uses less digits than its factorization.

8188960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 40.

The square root of 8188960 is about 2861.6358957771. The cubic root of 8188960 is about 201.5624289606.

The spelling of 8188960 in words is "eight million, one hundred eighty-eight thousand, nine hundred sixty".