166589164 has 48 divisors (see below), whose sum is σ = 345655296. Its totient is φ = 68745600.

The previous prime is 166589153. The next prime is 166589167. The reversal of 166589164 is 461985661.

It is not an unprimeable number, because it can be changed into a prime (166589167) 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, 243567 + ... + 244249.

It is an arithmetic number, because the mean of its divisors is an integer number (7201152).

Almost surely, 2^166589164 is an apocalyptic number.

166589164 is a gapful number since it is divisible by the number (14) 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 166589164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172827648).

166589164 is an abundant number, since it is smaller than the sum of its proper divisors (179066132).

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

166589164 is a wasteful number, since it uses less digits than its factorization.

166589164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 1004 counting only the distinct ones).

The product of its digits is 311040, while the sum is 46.

The square root of 166589164 is about 12906.9424729484. The cubic root of 166589164 is about 550.2358922010.

It can be divided in two parts, 166589 and 164, that added together give a triangular number (166753 = T₅₇₇).

The spelling of 166589164 in words is "one hundred sixty-six million, five hundred eighty-nine thousand, one hundred sixty-four".