166648320 has 160 divisors (see below), whose sum is σ = 592194240. Its totient is φ = 44421120.

The previous prime is 166648267. The next prime is 166648379. The reversal of 166648320 is 23846661.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 67915 + ... + 70325.

It is an arithmetic number, because the mean of its divisors is an integer number (3701214).

Almost surely, 2^166648320 is an apocalyptic number.

166648320 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 166648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296097120).

166648320 is an abundant number, since it is smaller than the sum of its proper divisors (425545920).

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

166648320 is an equidigital number, since it uses as much as digits as its factorization.

166648320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 166648320 is about 12909.2339044577. The cubic root of 166648320 is about 550.3010142886.

The spelling of 166648320 in words is "one hundred sixty-six million, six hundred forty-eight thousand, three hundred twenty".