166912200 has 288 divisors, whose sum is σ = 690580800. Its totient is φ = 35182080.

The previous prime is 166912199. The next prime is 166912201. The reversal of 166912200 is 2219661.

It is an interprime number because it is at equal distance from previous prime (166912199) and next prime (166912201).

It is not an unprimeable number, because it can be changed into a prime (166912201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 163291 + ... + 164309.

It is an arithmetic number, because the mean of its divisors is an integer number (2397850).

Almost surely, 2^166912200 is an apocalyptic number.

166912200 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 166912200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345290400).

166912200 is an abundant number, since it is smaller than the sum of its proper divisors (523668600).

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

166912200 is a wasteful number, since it uses less digits than its factorization.

166912200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 166912200 is about 12919.4504527089. The cubic root of 166912200 is about 550.5913199509.

The spelling of 166912200 in words is "one hundred sixty-six million, nine hundred twelve thousand, two hundred".