216872208 has 160 divisors (see below), whose sum is σ = 736262400. Its totient is φ = 59802624.

The previous prime is 216872189. The next prime is 216872219. The reversal of 216872208 is 802278612.

It is a happy number.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 86460 + ... + 88932.

It is an arithmetic number, because the mean of its divisors is an integer number (4601640).

Almost surely, 2^216872208 is an apocalyptic number.

216872208 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 216872208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368131200).

216872208 is an abundant number, since it is smaller than the sum of its proper divisors (519390192).

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

216872208 is a wasteful number, since it uses less digits than its factorization.

216872208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526 (or 2514 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 216872208 is about 14726.5816807567. The cubic root of 216872208 is about 600.8065154024.

The spelling of 216872208 in words is "two hundred sixteen million, eight hundred seventy-two thousand, two hundred eight".