164817216 has 84 divisors (see below), whose sum is σ = 474583252. Its totient is φ = 54687744.

The previous prime is 164817197. The next prime is 164817217. The reversal of 164817216 is 612718461.

It is a happy number.

164817216 is a `hidden beast` number, since 1 + 648 + 1 + 7 + 2 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 102090816 + 62726400 = 10104^2 + 7920^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164817217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159036 + ... + 160068.

Almost surely, 2^164817216 is an apocalyptic number.

164817216 is a gapful number since it is divisible by the number (16) 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 164817216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237291626).

164817216 is an abundant number, since it is smaller than the sum of its proper divisors (309766036).

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

164817216 is a wasteful number, since it uses less digits than its factorization.

164817216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1315 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 164817216 is about 12838.1157495950. The cubic root of 164817216 is about 548.2780481108.

The spelling of 164817216 in words is "one hundred sixty-four million, eight hundred seventeen thousand, two hundred sixteen".