166410000 has 225 divisors, whose sum is σ = 595808499. Its totient is φ = 43344000.

The previous prime is 166409963. The next prime is 166410029. The reversal of 166410000 is 14661.

The square root of 166410000 is 12900.

It is a perfect power (a square), and thus also a powerful number.

166410000 is a `hidden beast` number, since 1 + 664 + 1 + 0 + 0 + 0 + 0 = 666.

166410000 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 2 ways, for example, as 13046544 + 153363456 = 3612^2 + 12384^2 .

It is a tau number, because it is divible by the number of its divisors (225).

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3869979 + ... + 3870021.

Almost surely, 2^166410000 is an apocalyptic number.

166410000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

166410000 is the 12900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166410000

166410000 is an abundant number, since it is smaller than the sum of its proper divisors (429398499).

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

166410000 is an equidigital number, since it uses as much as digits as its factorization.

166410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The cubic root of 166410000 is about 550.0385647890.

Multiplying 166410000 by its product of nonzero digits (144), we get a square (23963040000 = 154800²).

166410000 divided by its product of nonzero digits (144) gives a square (1155625 = 1075²).

Adding to 166410000 its reverse (14661), we get a palindrome (166424661).

It can be divided in two parts, 1664 and 10000, that added together give a square (11664 = 108²).

The spelling of 166410000 in words is "one hundred sixty-six million, four hundred ten thousand".