166047120 has 240 divisors, whose sum is σ = 599818752. Its totient is φ = 41057280.

The previous prime is 166047107. The next prime is 166047139. The reversal of 166047120 is 21740661.

166047120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 612585 + ... + 612855.

Almost surely, 2^166047120 is an apocalyptic number.

166047120 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 166047120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299909376).

166047120 is an abundant number, since it is smaller than the sum of its proper divisors (433771632).

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

166047120 is a wasteful number, since it uses less digits than its factorization.

166047120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 166047120 is about 12885.9272076168. The cubic root of 166047120 is about 549.6384621227.

Adding to 166047120 its reverse (21740661), we get a palindrome (187787781).

The spelling of 166047120 in words is "one hundred sixty-six million, forty-seven thousand, one hundred twenty".