1000080864 has 96 divisors (see below), whose sum is σ = 2947220640. Its totient is φ = 329895936.

The previous prime is 1000080859. The next prime is 1000080883. The reversal of 1000080864 is 4680800001.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77842 + ... + 89774.

It is an arithmetic number, because the mean of its divisors is an integer number (30700215).

Almost surely, 2^1000080864 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 1000080864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473610320).

1000080864 is an abundant number, since it is smaller than the sum of its proper divisors (1947139776).

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

1000080864 is a wasteful number, since it uses less digits than its factorization.

1000080864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12049 (or 12035 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1000080864 is about 31624.0551479408. The cubic root of 1000080864 is about 1000.0269539401.

Adding to 1000080864 its reverse (4680800001), we get a palindrome (5680880865).

The spelling of 1000080864 in words is "one billion, eighty thousand, eight hundred sixty-four".