166864896 has 144 divisors (see below), whose sum is σ = 526387680. Its totient is φ = 50503680.

The previous prime is 166864891. The next prime is 166864903. The reversal of 166864896 is 698468661.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (166864891) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202341 + ... + 203163.

It is an arithmetic number, because the mean of its divisors is an integer number (3655470).

Almost surely, 2^166864896 is an apocalyptic number.

166864896 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 166864896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263193840).

166864896 is an abundant number, since it is smaller than the sum of its proper divisors (359522784).

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

166864896 is a wasteful number, since it uses less digits than its factorization.

166864896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 839 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 166864896 is about 12917.6195949563. The cubic root of 166864896 is about 550.5393013194.

It can be divided in two parts, 1668 and 64896, that added together give a square (66564 = 258²).

The spelling of 166864896 in words is "one hundred sixty-six million, eight hundred sixty-four thousand, eight hundred ninety-six".