216738368 has 168 divisors, whose sum is σ = 560124864. Its totient is φ = 82252800.

The previous prime is 216738349. The next prime is 216738371. The reversal of 216738368 is 863837612.

216738368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2104205 + ... + 2104307.

Almost surely, 2^216738368 is an apocalyptic number.

216738368 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 216738368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280062432).

216738368 is an abundant number, since it is smaller than the sum of its proper divisors (343386496).

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

216738368 is a wasteful number, since it uses less digits than its factorization.

216738368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 184 counting only the distinct ones).

The product of its digits is 290304, while the sum is 44.

The square root of 216738368 is about 14722.0368156040. The cubic root of 216738368 is about 600.6828965331.

The spelling of 216738368 in words is "two hundred sixteen million, seven hundred thirty-eight thousand, three hundred sixty-eight".