216846630 has 384 divisors, whose sum is σ = 792529920. Its totient is φ = 39674880.

The previous prime is 216846607. The next prime is 216846647. The reversal of 216846630 is 36648612.

216846630 is a `hidden beast` number, since 2 + 16 + 8 + 4 + 6 + 630 = 666.

216846630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×216846630⁴ (a number of 34 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2612569 + ... + 2612651.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880).

Almost surely, 2^216846630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216846630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396264960).

216846630 is an abundant number, since it is smaller than the sum of its proper divisors (575683290).

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

216846630 is a wasteful number, since it uses less digits than its factorization.

216846630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 216846630 is about 14725.7132255114. The cubic root of 216846630 is about 600.7828946822.

The spelling of 216846630 in words is "two hundred sixteen million, eight hundred forty-six thousand, six hundred thirty".