1216056960 has 192 divisors, whose sum is σ = 4269269160. Its totient is φ = 318873600.

The previous prime is 1216056931. The next prime is 1216056977. The reversal of 1216056960 is 696506121.

It can be written as a sum of positive squares in 4 ways, for example, as 436977216 + 779079744 = 20904^2 + 27912^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 349630 + ... + 353090.

Almost surely, 2^1216056960 is an apocalyptic number.

1216056960 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 1216056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134634580).

1216056960 is an abundant number, since it is smaller than the sum of its proper divisors (3053212200).

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

1216056960 is a wasteful number, since it uses less digits than its factorization.

1216056960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3547 (or 3532 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1216056960 is about 34872.0082587740. The cubic root of 1216056960 is about 1067.3773250354.

The spelling of 1216056960 in words is "one billion, two hundred sixteen million, fifty-six thousand, nine hundred sixty".