166468896 has 216 divisors, whose sum is σ = 552913452. Its totient is φ = 47308800.

The previous prime is 166468891. The next prime is 166468927. The reversal of 166468896 is 698864661.

It can be written as a sum of positive squares in 2 ways, for example, as 157251600 + 9217296 = 12540^2 + 3036^2 .

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 (166468891) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 592276 + ... + 592556.

Almost surely, 2^166468896 is an apocalyptic number.

166468896 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 166468896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276456726).

166468896 is an abundant number, since it is smaller than the sum of its proper divisors (386444556).

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

166468896 is a wasteful number, since it uses less digits than its factorization.

166468896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 314 counting only the distinct ones).

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

The square root of 166468896 is about 12902.2825887515. The cubic root of 166468896 is about 550.1034472085.

The spelling of 166468896 in words is "one hundred sixty-six million, four hundred sixty-eight thousand, eight hundred ninety-six".