1232216766 has 256 divisors, whose sum is σ = 3384115200. Its totient is φ = 327888000.

The previous prime is 1232216761. The next prime is 1232216801. The reversal of 1232216766 is 6676122321.

It is a super-2 number, since 2×1232216766² = 3036716316822997512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1232216766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1232216761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12200116 + ... + 12200216.

It is an arithmetic number, because the mean of its divisors is an integer number (13219200).

Almost surely, 2^1232216766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1232216766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692057600).

1232216766 is an abundant number, since it is smaller than the sum of its proper divisors (2151898434).

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

1232216766 is a wasteful number, since it uses less digits than its factorization.

1232216766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 206 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 1232216766 is about 35102.9452610461. The cubic root of 1232216766 is about 1072.0845513015.

The spelling of 1232216766 in words is "one billion, two hundred thirty-two million, two hundred sixteen thousand, seven hundred sixty-six".