166516720 has 40 divisors (see below), whose sum is σ = 390131280. Its totient is φ = 66094080.

The previous prime is 166516709. The next prime is 166516729. The reversal of 166516720 is 27615661.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166516729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2536 + ... + 18424.

It is an arithmetic number, because the mean of its divisors is an integer number (9753282).

Almost surely, 2^166516720 is an apocalyptic number.

166516720 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 166516720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195065640).

166516720 is an abundant number, since it is smaller than the sum of its proper divisors (223614560).

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

166516720 is a wasteful number, since it uses less digits than its factorization.

166516720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16033 (or 16027 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 166516720 is about 12904.1357711394. The cubic root of 166516720 is about 550.1561209691.

The spelling of 166516720 in words is "one hundred sixty-six million, five hundred sixteen thousand, seven hundred twenty".