166304160 has 144 divisors (see below), whose sum is σ = 619164000. Its totient is φ = 40312320.

The previous prime is 166304153. The next prime is 166304197. The reversal of 166304160 is 61403661.

166304160 is a `hidden beast` number, since 16 + 630 + 4 + 16 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10591 + ... + 21089.

It is an arithmetic number, because the mean of its divisors is an integer number (4299750).

Almost surely, 2^166304160 is an apocalyptic number.

166304160 is a gapful number since it is divisible by the number (10) 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 166304160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309582000).

166304160 is an abundant number, since it is smaller than the sum of its proper divisors (452859840).

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

166304160 is a wasteful number, since it uses less digits than its factorization.

166304160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10531 (or 10520 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 166304160 is about 12895.8970219214. The cubic root of 166304160 is about 549.9219283123.

It can be divided in two parts, 166304 and 160, that added together give a square (166464 = 408²).

The spelling of 166304160 in words is "one hundred sixty-six million, three hundred four thousand, one hundred sixty".