8948160 has 168 divisors, whose sum is σ = 33284160. Its totient is φ = 2193408.

The previous prime is 8948143. The next prime is 8948161. The reversal of 8948160 is 618498.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8948161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37321 + ... + 37559.

It is an arithmetic number, because the mean of its divisors is an integer number (198120).

Almost surely, 2^8948160 is an apocalyptic number.

8948160 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 8948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16642080).

8948160 is an abundant number, since it is smaller than the sum of its proper divisors (24336000).

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

8948160 is a wasteful number, since it uses less digits than its factorization.

8948160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8948160 is about 2991.3475224387. The cubic root of 8948160 is about 207.6082369458.

The spelling of 8948160 in words is "eight million, nine hundred forty-eight thousand, one hundred sixty".