216164160 has 224 divisors, whose sum is σ = 772485120. Its totient is φ = 56899584.

The previous prime is 216164131. The next prime is 216164161. The reversal of 216164160 is 61461612.

216164160 is a `hidden beast` number, since 2 + 1 + 616 + 41 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216164161) 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, 1097182 + ... + 1097378.

Almost surely, 2^216164160 is an apocalyptic number.

216164160 is a gapful number since it is divisible by the number (20) 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 216164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386242560).

216164160 is an abundant number, since it is smaller than the sum of its proper divisors (556320960).

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

216164160 is a wasteful number, since it uses less digits than its factorization.

216164160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 216164160 is about 14702.5222325967. The cubic root of 216164160 is about 600.1519615096.

The spelling of 216164160 in words is "two hundred sixteen million, one hundred sixty-four thousand, one hundred sixty".