1216706832 has 320 divisors, whose sum is σ = 4026528000. Its totient is φ = 352719360.

The previous prime is 1216706767. The next prime is 1216706837. The reversal of 1216706832 is 2386076121.

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

It is not an unprimeable number, because it can be changed into a prime (1216706837) 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 63 ways as a sum of consecutive naturals, for example, 11162394 + ... + 11162502.

It is an arithmetic number, because the mean of its divisors is an integer number (12582900).

Almost surely, 2^1216706832 is an apocalyptic number.

1216706832 is a gapful number since it is divisible by the number (12) 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 1216706832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013264000).

1216706832 is an abundant number, since it is smaller than the sum of its proper divisors (2809821168).

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

1216706832 is a wasteful number, since it uses less digits than its factorization.

1216706832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1216706832 is about 34881.3249748343. The cubic root of 1216706832 is about 1067.5674299210.

It can be divided in two parts, 121 and 6706832, that added together give a triangular number (6706953 = T₃₆₆₂).

The spelling of 1216706832 in words is "one billion, two hundred sixteen million, seven hundred six thousand, eight hundred thirty-two".