166464720 has 120 divisors (see below), whose sum is σ = 579817056. Its totient is φ = 44385408.

The previous prime is 166464709. The next prime is 166464721. The reversal of 166464720 is 27464661.

166464720 is a `hidden beast` number, since 1 + 6 + 6 + 4 + 647 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166464721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15159 + ... + 23721.

Almost surely, 2^166464720 is an apocalyptic number.

166464720 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 166464720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289908528).

166464720 is an abundant number, since it is smaller than the sum of its proper divisors (413352336).

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

166464720 is an equidigital number, since it uses as much as digits as its factorization.

166464720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8591 (or 8573 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 166464720 is about 12902.1207559068. The cubic root of 166464720 is about 550.0988472477.

The spelling of 166464720 in words is "one hundred sixty-six million, four hundred sixty-four thousand, seven hundred twenty".