166208512 has 66 divisors (see below), whose sum is σ = 345889778. Its totient is φ = 79822848.

The previous prime is 166208503. The next prime is 166208513. The reversal of 166208512 is 215802661.

It can be written as a sum of positive squares in 3 ways, for example, as 12845056 + 153363456 = 3584^2 + 12384^2 .

It is a super-2 number, since 2×166208512² = 55250538922508288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (166208513) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 861088 + ... + 861280.

Almost surely, 2^166208512 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 166208512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172944889).

166208512 is an abundant number, since it is smaller than the sum of its proper divisors (179681266).

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

166208512 is an equidigital number, since it uses as much as digits as its factorization.

166208512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 166208512 is about 12892.1880222094. The cubic root of 166208512 is about 549.8164809206.

The spelling of 166208512 in words is "one hundred sixty-six million, two hundred eight thousand, five hundred twelve".