1538640216 has 96 divisors (see below), whose sum is σ = 4644572400. Its totient is φ = 457297920.

The previous prime is 1538640203. The next prime is 1538640217. The reversal of 1538640216 is 6120468351.

It is a happy number.

1538640216 is a `hidden beast` number, since 1 + 5 + 3 + 8 + 640 + 2 + 1 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1538640217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9825 + ... + 56336.

Almost surely, 2^1538640216 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 1538640216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2322286200).

1538640216 is an abundant number, since it is smaller than the sum of its proper divisors (3105932184).

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

1538640216 is a wasteful number, since it uses less digits than its factorization.

1538640216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66209 (or 66202 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1538640216 is about 39225.5046621455. The cubic root of 1538640216 is about 1154.4603629670.

The spelling of 1538640216 in words is "one billion, five hundred thirty-eight million, six hundred forty thousand, two hundred sixteen".