166348800 has 324 divisors, whose sum is σ = 628758585. Its totient is φ = 42024960.

The previous prime is 166348771. The next prime is 166348801. The reversal of 166348800 is 8843661.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

166348800 is a `hidden beast` number, since 16 + 634 + 8 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 163021824 + 3326976 = 12768^2 + 1824^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=9120.

It is a super-2 number, since 2×166348800² = 55343846522880000, which contains 22 as substring.

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 (166348801) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8755191 + ... + 8755209.

Almost surely, 2^166348800 is an apocalyptic number.

166348800 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 166348800

166348800 is an abundant number, since it is smaller than the sum of its proper divisors (462409785).

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

166348800 is a wasteful number, since it uses less digits than its factorization.

166348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 29 counting only the distinct ones).

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

The square root of 166348800 is about 12897.6276888426. The cubic root of 166348800 is about 549.9711279610.

The spelling of 166348800 in words is "one hundred sixty-six million, three hundred forty-eight thousand, eight hundred".