166486320 has 720 divisors, whose sum is σ = 789636960. Its totient is φ = 31933440.

The previous prime is 166486319. The next prime is 166486339. The reversal of 166486320 is 23684661.

166486320 is a `hidden beast` number, since 1 + 6 + 648 + 6 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12806634 + ... + 12806646.

It is an arithmetic number, because the mean of its divisors is an integer number (1096718).

Almost surely, 2^166486320 is an apocalyptic number.

166486320 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 166486320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394818480).

166486320 is an abundant number, since it is smaller than the sum of its proper divisors (623150640).

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

166486320 is a wasteful number, since it uses less digits than its factorization.

166486320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 41 counting only the distinct ones).

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

The square root of 166486320 is about 12902.9578004425. The cubic root of 166486320 is about 550.1226393184.

The spelling of 166486320 in words is "one hundred sixty-six million, four hundred eighty-six thousand, three hundred twenty".