1005320064 has 288 divisors, whose sum is σ = 3279444840. Its totient is φ = 272025600.

The previous prime is 1005320033. The next prime is 1005320093. The reversal of 1005320064 is 4600235001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1005320064.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 9953614 + ... + 9953714.

Almost surely, 2^1005320064 is an apocalyptic number.

1005320064 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 1005320064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639722420).

1005320064 is an abundant number, since it is smaller than the sum of its proper divisors (2274124776).

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

1005320064 is a wasteful number, since it uses less digits than its factorization.

1005320064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1005320064 is about 31706.7826182349. The cubic root of 1005320064 is about 1001.7702191418.

Adding to 1005320064 its reverse (4600235001), we get a palindrome (5605555065).

The spelling of 1005320064 in words is "one billion, five million, three hundred twenty thousand, sixty-four".