166480128 has 108 divisors (see below), whose sum is σ = 505399440. Its totient is φ = 52558848.

The previous prime is 166480081. The next prime is 166480159. The reversal of 166480128 is 821084661.

166480128 is a `hidden beast` number, since 1 + 6 + 648 + 0 + 1 + 2 + 8 = 666.

It is a super-5 number, since 5×166480128⁵ (a number of 42 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 166480092 and 166480101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41875 + ... + 45677.

Almost surely, 2^166480128 is an apocalyptic number.

166480128 is a gapful number since it is divisible by the number (18) 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 166480128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252699720).

166480128 is an abundant number, since it is smaller than the sum of its proper divisors (338919312).

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

166480128 is a wasteful number, since it uses less digits than its factorization.

166480128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3844 (or 3827 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 166480128 is about 12902.7178532277. The cubic root of 166480128 is about 550.1158191352.

The spelling of 166480128 in words is "one hundred sixty-six million, four hundred eighty thousand, one hundred twenty-eight".