1185664 has 32 divisors (see below), whose sum is σ = 2417400. Its totient is φ = 579072.

The previous prime is 1185661. The next prime is 1185671. The reversal of 1185664 is 4665811.

1185664 = T₆₇ + T₆₈ + ... + T₁₉₄.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1185661) 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 3 ways as a sum of consecutive naturals, for example, 7474 + ... + 7630.

2^1185664 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 1185664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208700).

1185664 is an abundant number, since it is smaller than the sum of its proper divisors (1231736).

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

1185664 is an equidigital number, since it uses as much as digits as its factorization.

1185664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 218 counting only the distinct ones).

The product of its digits is 5760, while the sum is 31.

The square root of 1185664 is about 1088.8819954430. The cubic root of 1185664 is about 105.8409862130.

It can be divided in two parts, 1185 and 664, that added together give a square (1849 = 43²).

The spelling of 1185664 in words is "one million, one hundred eighty-five thousand, six hundred sixty-four".