48108960 has 72 divisors (see below), whose sum is σ = 164176740. Its totient is φ = 12828672.

The previous prime is 48108947. The next prime is 48109021. The reversal of 48108960 is 6980184.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 44997264 + 3111696 = 6708^2 + 1764^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15265 + ... + 18144.

Almost surely, 2^48108960 is an apocalyptic number.

48108960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48108960 is an abundant number, since it is smaller than the sum of its proper divisors (116067780).

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

48108960 is a wasteful number, since it uses less digits than its factorization.

48108960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33430 (or 33419 counting only the distinct ones).

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

The square root of 48108960 is about 6936.0622834574. The cubic root of 48108960 is about 363.6989016684.

The spelling of 48108960 in words is "forty-eight million, one hundred eight thousand, nine hundred sixty".