216612312 has 128 divisors (see below), whose sum is σ = 660480000. Its totient is φ = 57822336.

The previous prime is 216612311. The next prime is 216612313. The reversal of 216612312 is 213216612.

It is an interprime number because it is at equal distance from previous prime (216612311) and next prime (216612313).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216612311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251739 + ... + 252597.

It is an arithmetic number, because the mean of its divisors is an integer number (5160000).

Almost surely, 2^216612312 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 216612312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330240000).

216612312 is an abundant number, since it is smaller than the sum of its proper divisors (443867688).

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

216612312 is a wasteful number, since it uses less digits than its factorization.

216612312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 969 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 216612312 is about 14717.7549918457. The cubic root of 216612312 is about 600.5664206667.

Adding to 216612312 its reverse (213216612), we get a palindrome (429828924).

The spelling of 216612312 in words is "two hundred sixteen million, six hundred twelve thousand, three hundred twelve".