1564341216 has 96 divisors (see below), whose sum is σ = 4217609088. Its totient is φ = 507486720.

The previous prime is 1564341211. The next prime is 1564341277. The reversal of 1564341216 is 6121434651.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1564341211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 665355 + ... + 667701.

It is an arithmetic number, because the mean of its divisors is an integer number (43933428).

Almost surely, 2^1564341216 is an apocalyptic number.

1564341216 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 1564341216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108804544).

1564341216 is an abundant number, since it is smaller than the sum of its proper divisors (2653267872).

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

1564341216 is a wasteful number, since it uses less digits than its factorization.

1564341216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2544 (or 2536 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 1564341216 is about 39551.7536400094. The cubic root of 1564341216 is about 1160.8528250938.

Adding to 1564341216 its reverse (6121434651), we get a palindrome (7685775867).

The spelling of 1564341216 in words is "one billion, five hundred sixty-four million, three hundred forty-one thousand, two hundred sixteen".