163764216 has 192 divisors, whose sum is σ = 560102400. Its totient is φ = 41990400.

The previous prime is 163764191. The next prime is 163764217. The reversal of 163764216 is 612467361.

It is a happy number.

163764216 is a `hidden beast` number, since 1 + 6 + 3 + 7 + 642 + 1 + 6 = 666.

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

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 (163764217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 604161 + ... + 604431.

It is an arithmetic number, because the mean of its divisors is an integer number (2917200).

Almost surely, 2^163764216 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 163764216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280051200).

163764216 is an abundant number, since it is smaller than the sum of its proper divisors (396338184).

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

163764216 is a wasteful number, since it uses less digits than its factorization.

163764216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 403 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 163764216 is about 12797.0393450985. The cubic root of 163764216 is about 547.1079222056.

The spelling of 163764216 in words is "one hundred sixty-three million, seven hundred sixty-four thousand, two hundred sixteen".