166201504 has 48 divisors (see below), whose sum is σ = 374976000. Its totient is φ = 71034624.

The previous prime is 166201499. The next prime is 166201507. The reversal of 166201504 is 405102661.

It is not an unprimeable number, because it can be changed into a prime (166201507) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106522 + ... + 108070.

It is an arithmetic number, because the mean of its divisors is an integer number (7812000).

Almost surely, 2^166201504 is an apocalyptic number.

166201504 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 166201504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488000).

166201504 is an abundant number, since it is smaller than the sum of its proper divisors (208774496).

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

166201504 is a wasteful number, since it uses less digits than its factorization.

166201504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2045 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 166201504 is about 12891.9162268454. The cubic root of 166201504 is about 549.8087533419.

The spelling of 166201504 in words is "one hundred sixty-six million, two hundred one thousand, five hundred four".