1064344320 has 576 divisors, whose sum is σ = 4285532160. Its totient is φ = 248168448.

The previous prime is 1064344289. The next prime is 1064344339. The reversal of 1064344320 is 234434601.

1064344320 is a `hidden beast` number, since 10 + 643 + 4 + 4 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1064344320² = 2265657663032524800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10333389 + ... + 10333491.

It is an arithmetic number, because the mean of its divisors is an integer number (7440160).

Almost surely, 2^1064344320 is an apocalyptic number.

1064344320 is a gapful number since it is divisible by the number (10) 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 1064344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142766080).

1064344320 is an abundant number, since it is smaller than the sum of its proper divisors (3221187840).

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

1064344320 is a wasteful number, since it uses less digits than its factorization.

1064344320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 1064344320 is about 32624.2903371093. The cubic root of 1064344320 is about 1021.0038559990.

Adding to 1064344320 its reverse (234434601), we get a palindrome (1298778921).

The spelling of 1064344320 in words is "one billion, sixty-four million, three hundred forty-four thousand, three hundred twenty".