1005080864 has 48 divisors (see below), whose sum is σ = 2089789632. Its totient is φ = 474870528.

The previous prime is 1005080861. The next prime is 1005080891. The reversal of 1005080864 is 4680805001.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1005080864.

It is not an unprimeable number, because it can be changed into a prime (1005080861) 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 7 ways as a sum of consecutive naturals, for example, 52862 + ... + 69314.

It is an arithmetic number, because the mean of its divisors is an integer number (43537284).

Almost surely, 2^1005080864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005080864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044894816).

1005080864 is an abundant number, since it is smaller than the sum of its proper divisors (1084708768).

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

1005080864 is a wasteful number, since it uses less digits than its factorization.

1005080864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16569 (or 16561 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 1005080864 is about 31703.0103302510. The cubic root of 1005080864 is about 1001.6907610493.

Adding to 1005080864 its reverse (4680805001), we get a palindrome (5685885865).

The spelling of 1005080864 in words is "one billion, five million, eighty thousand, eight hundred sixty-four".