1365006916 has 135 divisors (see below), whose sum is σ = 3125218551. Its totient is φ = 521381952.

The previous prime is 1365006901. The next prime is 1365006917. The reversal of 1365006916 is 6196005631.

The square root of 1365006916 is 36946.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 175032900 + 1189974016 = 13230^2 + 34496^2 .

It is not an unprimeable number, because it can be changed into a prime (1365006917) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 47069190 + ... + 47069218.

Almost surely, 2^1365006916 is an apocalyptic number.

1365006916 is the 36946-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1365006916

1365006916 is an abundant number, since it is smaller than the sum of its proper divisors (1760211635).

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

1365006916 is an equidigital number, since it uses as much as digits as its factorization.

1365006916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The cubic root of 1365006916 is about 1109.2896236576.

The spelling of 1365006916 in words is "one billion, three hundred sixty-five million, six thousand, nine hundred sixteen".