166744160 has 96 divisors (see below), whose sum is σ = 455105952. Its totient is φ = 57057280.

The previous prime is 166744157. The next prime is 166744169. The reversal of 166744160 is 61447661.

It is a super-2 number, since 2×166744160² = 55607229788211200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 166744160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166744169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27134 + ... + 32706.

It is an arithmetic number, because the mean of its divisors is an integer number (4740687).

Almost surely, 2^166744160 is an apocalyptic number.

166744160 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 166744160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227552976).

166744160 is an abundant number, since it is smaller than the sum of its proper divisors (288361792).

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

166744160 is a wasteful number, since it uses less digits than its factorization.

166744160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5616 (or 5608 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 166744160 is about 12912.9454424620. The cubic root of 166744160 is about 550.4064873830.

The spelling of 166744160 in words is "one hundred sixty-six million, seven hundred forty-four thousand, one hundred sixty".