166905984 has 128 divisors (see below), whose sum is σ = 523284480. Its totient is φ = 46126080.

The previous prime is 166905941. The next prime is 166905989. The reversal of 166905984 is 489509661.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (166905989) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 82327 + ... + 84329.

It is an arithmetic number, because the mean of its divisors is an integer number (4088160).

Almost surely, 2^166905984 is an apocalyptic number.

166905984 is a gapful number since it is divisible by the number (14) 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 166905984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261642240).

166905984 is an abundant number, since it is smaller than the sum of its proper divisors (356378496).

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

166905984 is a wasteful number, since it uses less digits than its factorization.

166905984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 166905984 is about 12919.2098829611. The cubic root of 166905984 is about 550.5844849839.

The spelling of 166905984 in words is "one hundred sixty-six million, nine hundred five thousand, nine hundred eighty-four".