216863808 has 224 divisors, whose sum is σ = 694944000. Its totient is φ = 59609088.

The previous prime is 216863797. The next prime is 216863809. The reversal of 216863808 is 808368612.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×216863808² = 94059822440521728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 216863808.

It is not an unprimeable number, because it can be changed into a prime (216863809) 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 31 ways as a sum of consecutive naturals, for example, 2436628 + ... + 2436716.

Almost surely, 2^216863808 is an apocalyptic number.

216863808 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 216863808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347472000).

216863808 is an abundant number, since it is smaller than the sum of its proper divisors (478080192).

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

216863808 is an equidigital number, since it uses as much as digits as its factorization.

216863808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 216863808 is about 14726.2964794275. The cubic root of 216863808 is about 600.7987583921.

The spelling of 216863808 in words is "two hundred sixteen million, eight hundred sixty-three thousand, eight hundred eight".