166322016 has 288 divisors, whose sum is σ = 600058368. Its totient is φ = 42577920.

The previous prime is 166321949. The next prime is 166322017. The reversal of 166322016 is 610223661.

166322016 is a `hidden beast` number, since 1 + 6 + 632 + 20 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166322017) 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, 788151 + ... + 788361.

It is an arithmetic number, because the mean of its divisors is an integer number (2083536).

Almost surely, 2^166322016 is an apocalyptic number.

166322016 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 166322016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300029184).

166322016 is an abundant number, since it is smaller than the sum of its proper divisors (433736352).

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

166322016 is a wasteful number, since it uses less digits than its factorization.

166322016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 166322016 is about 12896.5893165596. The cubic root of 166322016 is about 549.9416092282.

Adding to 166322016 its reverse (610223661), we get a palindrome (776545677).

The spelling of 166322016 in words is "one hundred sixty-six million, three hundred twenty-two thousand, sixteen".