166312320 has 256 divisors, whose sum is σ = 575769600. Its totient is φ = 40697856.

The previous prime is 166312313. The next prime is 166312331. The reversal of 166312320 is 23213661.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1714512 + ... + 1714608.

It is an arithmetic number, because the mean of its divisors is an integer number (2249100).

Almost surely, 2^166312320 is an apocalyptic number.

166312320 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 166312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287884800).

166312320 is an abundant number, since it is smaller than the sum of its proper divisors (409457280).

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

166312320 is a wasteful number, since it uses less digits than its factorization.

166312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 166312320 is about 12896.2133977381. The cubic root of 166312320 is about 549.9309224540.

Adding to 166312320 its reverse (23213661), we get a palindrome (189525981).

The spelling of 166312320 in words is "one hundred sixty-six million, three hundred twelve thousand, three hundred twenty".