11648160 has 72 divisors (see below), whose sum is σ = 39754260. Its totient is φ = 3105792.

The previous prime is 11648149. The next prime is 11648177. The reversal of 11648160 is 6184611.

11648160 is a `hidden beast` number, since 1 + 1 + 648 + 16 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9809424 + 1838736 = 3132^2 + 1356^2 .

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2605 + ... + 5484.

Almost surely, 2^11648160 is an apocalyptic number.

11648160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11648160 is an abundant number, since it is smaller than the sum of its proper divisors (28106100).

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

11648160 is a wasteful number, since it uses less digits than its factorization.

11648160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8110 (or 8099 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11648160 is about 3412.9400815133. The cubic root of 11648160 is about 226.6830822406.

The spelling of 11648160 in words is "eleven million, six hundred forty-eight thousand, one hundred sixty".