1216416006 has 96 divisors (see below), whose sum is σ = 2978976000. Its totient is φ = 356140800.

The previous prime is 1216416001. The next prime is 1216416007. The reversal of 1216416006 is 6006146121.

1216416006 is a `hidden beast` number, since 1 + 2 + 16 + 41 + 600 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1216416001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 441120 + ... + 443868.

It is an arithmetic number, because the mean of its divisors is an integer number (31031000).

Almost surely, 2^1216416006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1216416006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489488000).

1216416006 is an abundant number, since it is smaller than the sum of its proper divisors (1762559994).

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

1216416006 is a wasteful number, since it uses less digits than its factorization.

1216416006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2862 (or 2859 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1216416006 is about 34877.1559333613. The cubic root of 1216416006 is about 1067.4823639330.

The spelling of 1216416006 in words is "one billion, two hundred sixteen million, four hundred sixteen thousand, six".