166189344 has 96 divisors (see below), whose sum is σ = 450696960. Its totient is φ = 53594112.

The previous prime is 166189337. The next prime is 166189393. The reversal of 166189344 is 443981661.

166189344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 166189296 and 166189305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 452649 + ... + 453015.

It is an arithmetic number, because the mean of its divisors is an integer number (4694760).

Almost surely, 2^166189344 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 166189344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225348480).

166189344 is an abundant number, since it is smaller than the sum of its proper divisors (284507616).

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

166189344 is a wasteful number, since it uses less digits than its factorization.

166189344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 514 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 166189344 is about 12891.4446048533. Note that the first 3 decimals coincide. The cubic root of 166189344 is about 549.7953442424.

The spelling of 166189344 in words is "one hundred sixty-six million, one hundred eighty-nine thousand, three hundred forty-four".