166030020 has 192 divisors, whose sum is σ = 566173440. Its totient is φ = 40144896.

The previous prime is 166030013. The next prime is 166030027. The reversal of 166030020 is 20030661.

It is a happy number.

166030020 is a `hidden beast` number, since 1 + 660 + 3 + 0 + 0 + 2 + 0 = 666.

166030020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (166030013) and next prime (166030027).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 166029975 and 166030002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166030027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 470164 + ... + 470516.

It is an arithmetic number, because the mean of its divisors is an integer number (2948820).

Almost surely, 2^166030020 is an apocalyptic number.

166030020 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 166030020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283086720).

166030020 is an abundant number, since it is smaller than the sum of its proper divisors (400143420).

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

166030020 is a wasteful number, since it uses less digits than its factorization.

166030020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 166030020 is about 12885.2636759983. The cubic root of 166030020 is about 549.6195937028.

Adding to 166030020 its reverse (20030661), we get a palindrome (186060681).

The spelling of 166030020 in words is "one hundred sixty-six million, thirty thousand, twenty".