1000982160 has 60 divisors (see below), whose sum is σ = 3361634172. Its totient is φ = 266928384.

The previous prime is 1000982093. The next prime is 1000982167. The reversal of 1000982160 is 612890001.

1000982160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 135210384 + 865771776 = 11628^2 + 29424^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (1000982167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 694407 + ... + 695846.

Almost surely, 2^1000982160 is an apocalyptic number.

1000982160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000982160 is an abundant number, since it is smaller than the sum of its proper divisors (2360652012).

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

1000982160 is a wasteful number, since it uses less digits than its factorization.

1000982160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390272 (or 1390263 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1000982160 is about 31638.3021036212. The cubic root of 1000982160 is about 1000.3272795431.

The spelling of 1000982160 in words is "one billion, nine hundred eighty-two thousand, one hundred sixty".