216317952 has 150 divisors (see below), whose sum is σ = 650228348. Its totient is φ = 71663616.

The previous prime is 216317951. The next prime is 216317953. The reversal of 216317952 is 259713612.

It is an interprime number because it is at equal distance from previous prime (216317951) and next prime (216317953).

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

Its product of digits (22680) is a multiple of the sum of its prime divisors (168).

It is not an unprimeable number, because it can be changed into a prime (216317951) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1327023 + ... + 1327185.

Almost surely, 2^216317952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216317952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325114174).

216317952 is an abundant number, since it is smaller than the sum of its proper divisors (433910396).

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

216317952 is an frugal number, since it uses more digits than its factorization.

216317952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 168 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 216317952 is about 14707.7514256939. The cubic root of 216317952 is about 600.2942556657.

The spelling of 216317952 in words is "two hundred sixteen million, three hundred seventeen thousand, nine hundred fifty-two".