166533120 has 288 divisors, whose sum is σ = 626043600. Its totient is φ = 40697856.

The previous prime is 166533113. The next prime is 166533121. The reversal of 166533120 is 21335661.

166533120 is a `hidden beast` number, since 1 + 6 + 6 + 533 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166533121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1198011 + ... + 1198149.

Almost surely, 2^166533120 is an apocalyptic number.

166533120 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 166533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313021800).

166533120 is an abundant number, since it is smaller than the sum of its proper divisors (459510480).

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

166533120 is a wasteful number, since it uses less digits than its factorization.

166533120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 166533120 is about 12904.7712106802. The cubic root of 166533120 is about 550.1741817464.

Adding to 166533120 its reverse (21335661), we get a palindrome (187868781).

It can be divided in two parts, 16 and 6533120, that added together give a square (6533136 = 2556²).

The spelling of 166533120 in words is "one hundred sixty-six million, five hundred thirty-three thousand, one hundred twenty".