166476320 has 96 divisors (see below), whose sum is σ = 411442416. Its totient is φ = 63590400.

The previous prime is 166476319. The next prime is 166476329. The reversal of 166476320 is 23674661.

It can be written as a sum of positive squares in 8 ways, for example, as 45212176 + 121264144 = 6724^2 + 11012^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (166476329) 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, 360890 + ... + 361350.

Almost surely, 2^166476320 is an apocalyptic number.

166476320 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 166476320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205721208).

166476320 is an abundant number, since it is smaller than the sum of its proper divisors (244966096).

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

166476320 is a wasteful number, since it uses less digits than its factorization.

166476320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 166476320 is about 12902.5702865747. The cubic root of 166476320 is about 550.1116247267. Note that the first 3 decimals are identical.

The spelling of 166476320 in words is "one hundred sixty-six million, four hundred seventy-six thousand, three hundred twenty".