166824064 has 64 divisors (see below), whose sum is σ = 366220800. Its totient is φ = 75064320.

The previous prime is 166824059. The next prime is 166824071. The reversal of 166824064 is 460428661.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152929 + ... + 154015.

It is an arithmetic number, because the mean of its divisors is an integer number (5722200).

Almost surely, 2^166824064 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 166824064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183110400).

166824064 is an abundant number, since it is smaller than the sum of its proper divisors (199396736).

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

166824064 is a wasteful number, since it uses less digits than its factorization.

166824064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 166824064 is about 12916.0390213099. The cubic root of 166824064 is about 550.4943918245.

The spelling of 166824064 in words is "one hundred sixty-six million, eight hundred twenty-four thousand, sixty-four".