1230305664 has 128 divisors (see below), whose sum is σ = 3757190400. Its totient is φ = 349415424.

The previous prime is 1230305647. The next prime is 1230305669. The reversal of 1230305664 is 4665030321.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230305669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 479874 + ... + 482430.

It is an arithmetic number, because the mean of its divisors is an integer number (29353050).

Almost surely, 2^1230305664 is an apocalyptic number.

1230305664 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 1230305664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878595200).

1230305664 is an abundant number, since it is smaller than the sum of its proper divisors (2526884736).

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

1230305664 is a wasteful number, since it uses less digits than its factorization.

1230305664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 1230305664 is about 35075.7133070733. The cubic root of 1230305664 is about 1071.5300160049.

Adding to 1230305664 its reverse (4665030321), we get a palindrome (5895335985).

The spelling of 1230305664 in words is "one billion, two hundred thirty million, three hundred five thousand, six hundred sixty-four".