166306816 has 99 divisors (see below), whose sum is σ = 371978793. Its totient is φ = 74280960.

The previous prime is 166306799. The next prime is 166306817. The reversal of 166306816 is 618603661.

It is a happy number.

The square root of 166306816 is 12896.

It is a perfect power (a square), and thus also a powerful number.

166306816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 24601600 + 141705216 = 4960^2 + 11904^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (166306817) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5364721 + ... + 5364751.

Almost surely, 2^166306816 is an apocalyptic number.

166306816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

166306816 is the 12896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166306816

166306816 is an abundant number, since it is smaller than the sum of its proper divisors (205671977).

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

166306816 is an equidigital number, since it uses as much as digits as its factorization.

166306816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The cubic root of 166306816 is about 549.9248558495.

The spelling of 166306816 in words is "one hundred sixty-six million, three hundred six thousand, eight hundred sixteen".