216853308 has 192 divisors, whose sum is σ = 699596800. Its totient is φ = 56687040.

The previous prime is 216853303. The next prime is 216853313. The reversal of 216853308 is 803358612.

It is an interprime number because it is at equal distance from previous prime (216853303) and next prime (216853313).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216853303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 445041 + ... + 445527.

Almost surely, 2^216853308 is an apocalyptic number.

216853308 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 216853308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349798400).

216853308 is an abundant number, since it is smaller than the sum of its proper divisors (482743492).

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

216853308 is a wasteful number, since it uses less digits than its factorization.

216853308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 216853308 is about 14725.9399699985. The cubic root of 216853308 is about 600.7890618474.

The spelling of 216853308 in words is "two hundred sixteen million, eight hundred fifty-three thousand, three hundred eight".