216312768 has 168 divisors, whose sum is σ = 735210112. Its totient is φ = 61772544.

The previous prime is 216312763. The next prime is 216312781. The reversal of 216312768 is 867213612.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216312763) by changing a digit.

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, 107871 + ... + 109857.

Almost surely, 2^216312768 is an apocalyptic number.

216312768 is a gapful number since it is divisible by the number (28) 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 216312768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367605056).

216312768 is an abundant number, since it is smaller than the sum of its proper divisors (518897344).

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

216312768 is an equidigital number, since it uses as much as digits as its factorization.

216312768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021 (or 1999 counting only the distinct ones).

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

The square root of 216312768 is about 14707.5751910368. The cubic root of 216312768 is about 600.2894603321.

The spelling of 216312768 in words is "two hundred sixteen million, three hundred twelve thousand, seven hundred sixty-eight".