166347216 has 80 divisors (see below), whose sum is σ = 545699200. Its totient is φ = 47526912.

The previous prime is 166347211. The next prime is 166347257. The reversal of 166347216 is 612743661.

It is a happy number.

166347216 is a `hidden beast` number, since 1 + 6 + 634 + 7 + 2 + 16 = 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 (166347211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24481 + ... + 30528.

It is an arithmetic number, because the mean of its divisors is an integer number (6821240).

Almost surely, 2^166347216 is an apocalyptic number.

166347216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

166347216 is an abundant number, since it is smaller than the sum of its proper divisors (379351984).

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

166347216 is a wasteful number, since it uses less digits than its factorization.

166347216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55033 (or 55021 counting only the distinct ones).

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

The square root of 166347216 is about 12897.5662820549. The cubic root of 166347216 is about 549.9693823176.

The spelling of 166347216 in words is "one hundred sixty-six million, three hundred forty-seven thousand, two hundred sixteen".