166610000 has 50 divisors (see below), whose sum is σ = 403403682. Its totient is φ = 66640000.

The previous prime is 166609997. The next prime is 166610009. The reversal of 166610000 is 16661.

It can be written as a sum of positive squares in 5 ways, for example, as 66129424 + 100480576 = 8132^2 + 10024^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166610009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1670 + ... + 18330.

Almost surely, 2^166610000 is an apocalyptic number.

166610000 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 166610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201701841).

166610000 is an abundant number, since it is smaller than the sum of its proper divisors (236793682).

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

166610000 is an equidigital number, since it uses as much as digits as its factorization.

166610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16689 (or 16668 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 166610000 is about 12907.7496102148. The cubic root of 166610000 is about 550.2588313423.

Adding to 166610000 its reverse (16661), we get a palindrome (166626661).

Multiplying 166610000 by its reverse (16661), we get a square (2775889210000 = 1666100²).

166610000 divided by its reverse (16661) gives a 4-th power (10000 = 10⁴).

The spelling of 166610000 in words is "one hundred sixty-six million, six hundred ten thousand".