166870200 has 192 divisors, whose sum is σ = 601032960. Its totient is φ = 37509120.

The previous prime is 166870153. The next prime is 166870201. The reversal of 166870200 is 2078661.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166870201) 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, 281104 + ... + 281696.

It is an arithmetic number, because the mean of its divisors is an integer number (3130380).

Almost surely, 2^166870200 is an apocalyptic number.

166870200 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 166870200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300516480).

166870200 is an abundant number, since it is smaller than the sum of its proper divisors (434162760).

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

166870200 is a wasteful number, since it uses less digits than its factorization.

166870200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 166870200 is about 12917.8248943079. The cubic root of 166870200 is about 550.5451344407.

The spelling of 166870200 in words is "one hundred sixty-six million, eight hundred seventy thousand, two hundred".