166431000 has 128 divisors (see below), whose sum is σ = 537451200. Its totient is φ = 42828800.

The previous prime is 166430993. The next prime is 166431007. The reversal of 166431000 is 134661.

It is an interprime number because it is at equal distance from previous prime (166430993) and next prime (166431007).

It is a super-2 number, since 2×166431000² = 55398555522000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166431007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86044 + ... + 87956.

Almost surely, 2^166431000 is an apocalyptic number.

166431000 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 166431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268725600).

166431000 is an abundant number, since it is smaller than the sum of its proper divisors (371020200).

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

166431000 is a wasteful number, since it uses less digits than its factorization.

166431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 166431000 is about 12900.8139278109. The cubic root of 166431000 is about 550.0617010669.

Adding to 166431000 its reverse (134661), we get a palindrome (166565661).

The spelling of 166431000 in words is "one hundred sixty-six million, four hundred thirty-one thousand".