166050000 has 300 divisors, whose sum is σ = 615359052. Its totient is φ = 43200000.

The previous prime is 166049971. The next prime is 166050023. The reversal of 166050000 is 50661.

166050000 is a `hidden beast` number, since 1 + 660 + 5 + 0 + 0 + 0 + 0 = 666.

166050000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 162409536 + 3640464 = 12744^2 + 1908^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4049980 + ... + 4050020.

Almost surely, 2^166050000 is an apocalyptic number.

166050000 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 166050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307679526).

166050000 is an abundant number, since it is smaller than the sum of its proper divisors (449309052).

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

166050000 is an frugal number, since it uses more digits than its factorization.

166050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 166050000 is about 12886.0389569487. The cubic root of 166050000 is about 549.6416398344.

The spelling of 166050000 in words is "one hundred sixty-six million, fifty thousand".