166028580 has 72 divisors (see below), whose sum is σ = 511909944. Its totient is φ = 43545600.

The previous prime is 166028549. The next prime is 166028587. The reversal of 166028580 is 85820661.

It is a happy number.

166028580 is a `hidden beast` number, since 16 + 60 + 2 + 8 + 580 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3006756 + 163021824 = 1734^2 + 12768^2 .

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

It is not an unprimeable number, because it can be changed into a prime (166028587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3420 + ... + 18540.

Almost surely, 2^166028580 is an apocalyptic number.

166028580 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 166028580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255954972).

166028580 is an abundant number, since it is smaller than the sum of its proper divisors (345881364).

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

166028580 is a wasteful number, since it uses less digits than its factorization.

166028580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15197 (or 15192 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 166028580 is about 12885.2077980916. The cubic root of 166028580 is about 549.6180047241.

The spelling of 166028580 in words is "one hundred sixty-six million, twenty-eight thousand, five hundred eighty".