1564918016 has 72 divisors (see below), whose sum is σ = 3221213184. Its totient is φ = 758374400.

The previous prime is 1564918013. The next prime is 1564918021. The reversal of 1564918016 is 6108194651.

It is not an unprimeable number, because it can be changed into a prime (1564918013) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1359041 + ... + 1360191.

It is an arithmetic number, because the mean of its divisors is an integer number (44739072).

Almost surely, 2^1564918016 is an apocalyptic number.

1564918016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1564918016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610606592).

1564918016 is an abundant number, since it is smaller than the sum of its proper divisors (1656295168).

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

1564918016 is a wasteful number, since it uses less digits than its factorization.

1564918016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 41.

The square root of 1564918016 is about 39559.0446800728. The cubic root of 1564918016 is about 1160.9954831500.

The spelling of 1564918016 in words is "one billion, five hundred sixty-four million, nine hundred eighteen thousand, sixteen".