1188768 has 96 divisors (see below), whose sum is σ = 3749760. Its totient is φ = 322560.

The previous prime is 1188763. The next prime is 1188769. The reversal of 1188768 is 8678811.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1188763) 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 15 ways as a sum of consecutive naturals, for example, 19458 + ... + 19518.

It is an arithmetic number, because the mean of its divisors is an integer number (39060).

2^1188768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1188768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874880).

1188768 is an abundant number, since it is smaller than the sum of its proper divisors (2560992).

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

1188768 is a wasteful number, since it uses less digits than its factorization.

1188768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 102 counting only the distinct ones).

The product of its digits is 21504, while the sum is 39.

The square root of 1188768 is about 1090.3063789596. The cubic root of 1188768 is about 105.9332675975.

The spelling of 1188768 in words is "one million, one hundred eighty-eight thousand, seven hundred sixty-eight".