166420800 has 504 divisors, whose sum is σ = 733730816. Its totient is φ = 34836480.

The previous prime is 166420799. The next prime is 166420811. The reversal of 166420800 is 8024661.

166420800 is a `hidden beast` number, since 16 + 642 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1310337 + ... + 1310463.

Almost surely, 2^166420800 is an apocalyptic number.

166420800 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 166420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366865408).

166420800 is an abundant number, since it is smaller than the sum of its proper divisors (567310016).

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

166420800 is a wasteful number, since it uses less digits than its factorization.

166420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 166420800 is about 12900.4185978595. The cubic root of 166420800 is about 550.0504636893.

The spelling of 166420800 in words is "one hundred sixty-six million, four hundred twenty thousand, eight hundred".