1234321564 has 72 divisors (see below), whose sum is σ = 2588105520. Its totient is φ = 513273600.

The previous prime is 1234321541. The next prime is 1234321607. The reversal of 1234321564 is 4651234321.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2161399 + ... + 2161969.

It is an arithmetic number, because the mean of its divisors is an integer number (35945910).

Almost surely, 2^1234321564 is an apocalyptic number.

1234321564 is a gapful number since it is divisible by the number (14) 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 1234321564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294052760).

1234321564 is an abundant number, since it is smaller than the sum of its proper divisors (1353783956).

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

1234321564 is a wasteful number, since it uses less digits than its factorization.

1234321564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 890 counting only the distinct ones).

The product of its digits is 17280, while the sum is 31.

The square root of 1234321564 is about 35132.9128311331. The cubic root of 1234321564 is about 1072.6946273535.

Adding to 1234321564 its reverse (4651234321), we get a palindrome (5885555885).

The spelling of 1234321564 in words is "one billion, two hundred thirty-four million, three hundred twenty-one thousand, five hundred sixty-four".