1185920 has 64 divisors (see below), whose sum is σ = 3029400. Its totient is φ = 442368.

The previous prime is 1185907. The next prime is 1185929. The reversal of 1185920 is 295811.

It is a happy number.

It is a Cunningham number, because it is equal to 33⁴-1.

It can be written as a sum of positive squares in 4 ways, for example, as 1132096 + 53824 = 1064^2 + 232^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 1185920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1185929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10826 + ... + 10934.

2^1185920 is an apocalyptic number.

1185920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1185920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514700).

1185920 is an abundant number, since it is smaller than the sum of its proper divisors (1843480).

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

1185920 is a wasteful number, since it uses less digits than its factorization.

1185920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 26.

The square root of 1185920 is about 1088.9995408631. Note that the first 3 decimals coincide. The cubic root of 1185920 is about 105.8486031384.

The spelling of 1185920 in words is "one million, one hundred eighty-five thousand, nine hundred twenty".