166905120 has 96 divisors (see below), whose sum is σ = 553452480. Its totient is φ = 42163200.

The previous prime is 166905103. The next prime is 166905169. The reversal of 166905120 is 21509661.

166905120 is digitally balanced in base 3, 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31 + ... + 18270.

It is an arithmetic number, because the mean of its divisors is an integer number (5765130).

Almost surely, 2^166905120 is an apocalyptic number.

166905120 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 166905120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276726240).

166905120 is an abundant number, since it is smaller than the sum of its proper divisors (386547360).

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

166905120 is a wasteful number, since it uses less digits than its factorization.

166905120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18338 (or 18330 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 166905120 is about 12919.1764443404. The cubic root of 166905120 is about 550.5835349364.

The spelling of 166905120 in words is "one hundred sixty-six million, nine hundred five thousand, one hundred twenty".