166085920 has 384 divisors, whose sum is σ = 566963712. Its totient is φ = 44236800.

The previous prime is 166085917. The next prime is 166085939. The reversal of 166085920 is 29580661.

It is a self number, because there is not a number n which added to its sum of digits gives 166085920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2722690 + ... + 2722750.

It is an arithmetic number, because the mean of its divisors is an integer number (1476468).

Almost surely, 2^166085920 is an apocalyptic number.

166085920 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 166085920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283481856).

166085920 is an abundant number, since it is smaller than the sum of its proper divisors (400877792).

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

166085920 is a wasteful number, since it uses less digits than its factorization.

166085920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 166085920 is about 12887.4326380393. The cubic root of 166085920 is about 549.6812698741.

The spelling of 166085920 in words is "one hundred sixty-six million, eighty-five thousand, nine hundred twenty".