1216566160 has 40 divisors (see below), whose sum is σ = 2844177336. Its totient is φ = 483932160.

The previous prime is 1216566151. The next prime is 1216566167. The reversal of 1216566160 is 616656121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 61653904 + 1154912256 = 7852^2 + 33984^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (1216566167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27529 + ... + 56488.

Almost surely, 2^1216566160 is an apocalyptic number.

1216566160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1216566160 is an abundant number, since it is smaller than the sum of its proper divisors (1627611176).

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

1216566160 is a wasteful number, since it uses less digits than its factorization.

1216566160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84211 (or 84205 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 1216566160 is about 34879.3084793836. The cubic root of 1216566160 is about 1067.5262853522.

The spelling of 1216566160 in words is "one billion, two hundred sixteen million, five hundred sixty-six thousand, one hundred sixty".