166432320 has 140 divisors (see below), whose sum is σ = 592121244. Its totient is φ = 44375040.

The previous prime is 166432319. The next prime is 166432361. The reversal of 166432320 is 23234661.

166432320 is a `hidden beast` number, since 16 + 643 + 2 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52881984 + 113550336 = 7272^2 + 10656^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 22710 + ... + 29130.

Almost surely, 2^166432320 is an apocalyptic number.

166432320 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 166432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296060622).

166432320 is an abundant number, since it is smaller than the sum of its proper divisors (425688924).

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

166432320 is an equidigital number, since it uses as much as digits as its factorization.

166432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6450 (or 6431 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 166432320 is about 12900.8650872722. The cubic root of 166432320 is about 550.0631552822.

Adding to 166432320 its reverse (23234661), we get a palindrome (189666981).

The spelling of 166432320 in words is "one hundred sixty-six million, four hundred thirty-two thousand, three hundred twenty".