8148960 has 72 divisors (see below), whose sum is σ = 27813240. Its totient is φ = 2172672.

The previous prime is 8148947. The next prime is 8148977. The reversal of 8148960 is 698418.

It is a happy number.

8148960 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1390 + ... + 4269.

It is an arithmetic number, because the mean of its divisors is an integer number (386295).

Almost surely, 2^8148960 is an apocalyptic number.

8148960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8148960 is an abundant number, since it is smaller than the sum of its proper divisors (19664280).

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

8148960 is a wasteful number, since it uses less digits than its factorization.

8148960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5680 (or 5669 counting only the distinct ones).

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

The square root of 8148960 is about 2854.6383308573. The cubic root of 8148960 is about 201.2337075143.

The spelling of 8148960 in words is "eight million, one hundred forty-eight thousand, nine hundred sixty".