166432000 has 144 divisors (see below), whose sum is σ = 474469632. Its totient is φ = 56985600.

The previous prime is 166431983. The next prime is 166432009. The reversal of 166432000 is 234661.

It is a super-2 number, since 2×166432000² = 55399221248000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166432009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223629 + ... + 224371.

It is an arithmetic number, because the mean of its divisors is an integer number (3294928).

Almost surely, 2^166432000 is an apocalyptic number.

166432000 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 166432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237234816).

166432000 is an abundant number, since it is smaller than the sum of its proper divisors (308037632).

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

166432000 is an frugal number, since it uses more digits than its factorization.

166432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 166432000 is about 12900.8526849972. The cubic root of 166432000 is about 550.0628027458.

Adding to 166432000 its reverse (234661), we get a palindrome (166666661).

The spelling of 166432000 in words is "one hundred sixty-six million, four hundred thirty-two thousand".