166410 has 36 divisors (see below), whose sum is σ = 442962. Its totient is φ = 43344.

The previous prime is 166409. The next prime is 166417. The reversal of 166410 is 14661.

166410 is a `hidden beast` number, since 1 + 664 + 1 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 149769 + 16641 = 387^2 + 129^2 .

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

It is not an unprimeable number, because it can be changed into a prime (166417) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3849 + ... + 3891.

2¹⁶⁶⁴¹⁰ is an apocalyptic number.

166410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 166410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221481).

166410 is an abundant number, since it is smaller than the sum of its proper divisors (276552).

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

166410 is a wasteful number, since it uses less digits than its factorization.

166410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 53 counting only the distinct ones).

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

The square root of 166410 is about 407.9338181617. The cubic root of 166410 is about 55.0038564789.

It can be divided in two parts, 166 and 410, that added together give a square (576 = 24²).

The spelling of 166410 in words is "one hundred sixty-six thousand, four hundred ten".