401166 has 64 divisors (see below), whose sum is σ = 1036800. Its totient is φ = 114048.

The previous prime is 401161. The next prime is 401173. The reversal of 401166 is 661104.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401161) by changing a digit.

401166 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17431 + ... + 17453.

It is an arithmetic number, because the mean of its divisors is an integer number (16200).

2⁴⁰¹¹⁶⁶ is an apocalyptic number.

401166 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 401166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518400).

401166 is an abundant number, since it is smaller than the sum of its proper divisors (635634).

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

401166 is a wasteful number, since it uses less digits than its factorization.

401166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 64 counting only the distinct ones).

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

The square root of 401166 is about 633.3766651843. The cubic root of 401166 is about 73.7521535328.

It can be divided in two parts, 401 and 166, that multiplied together give a palindrome (66566).

The spelling of 401166 in words is "four hundred one thousand, one hundred sixty-six".