1000816960 has 112 divisors (see below), whose sum is σ = 2799965952. Its totient is φ = 335923200.

The previous prime is 1000816939. The next prime is 1000816961. The reversal of 1000816960 is 696180001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000816961) 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, 34825 + ... + 56695.

It is an arithmetic number, because the mean of its divisors is an integer number (24999696).

Almost surely, 2^1000816960 is an apocalyptic number.

1000816960 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 1000816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399982976).

1000816960 is an abundant number, since it is smaller than the sum of its proper divisors (1799148992).

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

1000816960 is a wasteful number, since it uses less digits than its factorization.

1000816960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21912 (or 21902 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 1000816960 is about 31635.6912363236. The cubic root of 1000816960 is about 1000.2722458755.

Adding to 1000816960 its reverse (696180001), we get a palindrome (1696996961).

The spelling of 1000816960 in words is "one billion, eight hundred sixteen thousand, nine hundred sixty".