166042200 has 192 divisors, whose sum is σ = 542822400. Its totient is φ = 41932800.

The previous prime is 166042189. The next prime is 166042229. The reversal of 166042200 is 2240661.

It is a happy number.

166042200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×166042200³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1469344 + ... + 1469456.

It is an arithmetic number, because the mean of its divisors is an integer number (2827200).

Almost surely, 2^166042200 is an apocalyptic number.

166042200 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 166042200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271411200).

166042200 is an abundant number, since it is smaller than the sum of its proper divisors (376780200).

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

166042200 is a wasteful number, since it uses less digits than its factorization.

166042200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 166042200 is about 12885.7363002663. The cubic root of 166042200 is about 549.6330334469.

Adding to 166042200 its reverse (2240661), we get a palindrome (168282861).

The spelling of 166042200 in words is "one hundred sixty-six million, forty-two thousand, two hundred".