1185260672 has 72 divisors (see below), whose sum is σ = 2522420985. Its totient is φ = 554653696.

The previous prime is 1185260599. The next prime is 1185260707. The reversal of 1185260672 is 2760625811.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1084780096 + 100480576 = 32936^2 + 10024^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=24344.

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 8 ways as a sum of consecutive naturals, for example, 6621479 + ... + 6621657.

Almost surely, 2^1185260672 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 1185260672

1185260672 is an abundant number, since it is smaller than the sum of its proper divisors (1337160313).

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

1185260672 is an frugal number, since it uses more digits than its factorization.

1185260672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 1185260672 is about 34427.6149624106. The cubic root of 1185260672 is about 1058.2898352235.

The spelling of 1185260672 in words is "one billion, one hundred eighty-five million, two hundred sixty thousand, six hundred seventy-two".