166416896 has 40 divisors (see below), whose sum is σ = 350029680. Its totient is φ = 78824448.

The previous prime is 166416883. The next prime is 166416907. The reversal of 166416896 is 698614661.

166416896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 166416896.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1175 + ... + 18281.

It is an arithmetic number, because the mean of its divisors is an integer number (8750742).

Almost surely, 2^166416896 is an apocalyptic number.

166416896 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 166416896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175014840).

166416896 is an abundant number, since it is smaller than the sum of its proper divisors (183612784).

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

166416896 is an equidigital number, since it uses as much as digits as its factorization.

166416896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17144 (or 17128 counting only the distinct ones).

The product of its digits is 373248, while the sum is 47.

The square root of 166416896 is about 12900.2672840527. The cubic root of 166416896 is about 550.0461625166.

The spelling of 166416896 in words is "one hundred sixty-six million, four hundred sixteen thousand, eight hundred ninety-six".