166366800 has 180 divisors, whose sum is σ = 593417500. Its totient is φ = 43130880.

The previous prime is 166366799. The next prime is 166366813. The reversal of 166366800 is 8663661.

166366800 is a `hidden beast` number, since 16 + 636 + 6 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 266256 + 166100544 = 516^2 + 12888^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 132576 + ... + 133824.

Almost surely, 2^166366800 is an apocalyptic number.

166366800 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 166366800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296708750).

166366800 is an abundant number, since it is smaller than the sum of its proper divisors (427050700).

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

166366800 is a wasteful number, since it uses less digits than its factorization.

166366800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 166366800 is about 12898.3254727116. The cubic root of 166366800 is about 549.9909640389.

It can be divided in two parts, 16636 and 6800, that added together give a triangular number (23436 = T₂₁₆).

The spelling of 166366800 in words is "one hundred sixty-six million, three hundred sixty-six thousand, eight hundred".