166531200 has 384 divisors, whose sum is σ = 637459200. Its totient is φ = 37785600.

The previous prime is 166531171. The next prime is 166531207. The reversal of 166531200 is 2135661.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (166531207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2006359 + ... + 2006441.

It is an arithmetic number, because the mean of its divisors is an integer number (1660050).

Almost surely, 2^166531200 is an apocalyptic number.

166531200 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 166531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318729600).

166531200 is an abundant number, since it is smaller than the sum of its proper divisors (470928000).

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

166531200 is a wasteful number, since it uses less digits than its factorization.

166531200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 166531200 is about 12904.6968193755. The cubic root of 166531200 is about 550.1720673753.

Adding to 166531200 its reverse (2135661), we get a palindrome (168666861).

The spelling of 166531200 in words is "one hundred sixty-six million, five hundred thirty-one thousand, two hundred".