1395605664 has 72 divisors (see below), whose sum is σ = 4076048340. Its totient is φ = 452625408.

The previous prime is 1395605663. The next prime is 1395605671. The reversal of 1395605664 is 4665065931.

1395605664 is a `hidden beast` number, since 1 + 39 + 5 + 605 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1053651600 + 341954064 = 32460^2 + 18492^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (1395605663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54829 + ... + 76140.

Almost surely, 2^1395605664 is an apocalyptic number.

It is an amenable number.

1395605664 is an abundant number, since it is smaller than the sum of its proper divisors (2680442676).

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

1395605664 is a wasteful number, since it uses less digits than its factorization.

1395605664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131022 (or 131011 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 1395605664 is about 37357.8059312910. The cubic root of 1395605664 is about 1117.5172641208.

The spelling of 1395605664 in words is "one billion, three hundred ninety-five million, six hundred five thousand, six hundred sixty-four".