166438800 has 300 divisors, whose sum is σ = 653034096. Its totient is φ = 40262400.

The previous prime is 166438771. The next prime is 166438807. The reversal of 166438800 is 8834661.

It is a happy number.

166438800 is a `hidden beast` number, since 1 + 6 + 643 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is not an unprimeable number, because it can be changed into a prime (166438807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 356167 + ... + 356633.

Almost surely, 2^166438800 is an apocalyptic number.

166438800 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 166438800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326517048).

166438800 is an abundant number, since it is smaller than the sum of its proper divisors (486595296).

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

166438800 is a wasteful number, since it uses less digits than its factorization.

166438800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 166438800 is about 12901.1162307763. The cubic root of 166438800 is about 550.0702940458.

It can be divided in two parts, 1 and 66438800, that added together give a square (66438801 = 8151²).

The spelling of 166438800 in words is "one hundred sixty-six million, four hundred thirty-eight thousand, eight hundred".