1327650624 has 84 divisors (see below), whose sum is σ = 3936743460. Its totient is φ = 427284480.

The previous prime is 1327650619. The next prime is 1327650637. The reversal of 1327650624 is 4260567231.

1327650624 is a `hidden beast` number, since 1 + 3 + 27 + 6 + 5 + 0 + 624 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 674337024 + 653313600 = 25968^2 + 25560^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23037 + ... + 56444.

Almost surely, 2^1327650624 is an apocalyptic number.

It is an amenable number.

1327650624 is an abundant number, since it is smaller than the sum of its proper divisors (2609092836).

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

1327650624 is a wasteful number, since it uses less digits than its factorization.

1327650624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79528 (or 79515 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 1327650624 is about 36436.9403764915. The cubic root of 1327650624 is about 1099.0765318372.

It can be divided in two parts, 132 and 7650624, that added together give a square (7650756 = 2766²).

The spelling of 1327650624 in words is "one billion, three hundred twenty-seven million, six hundred fifty thousand, six hundred twenty-four".