166805632 has 128 divisors (see below), whose sum is σ = 412439040. Its totient is φ = 65568768.

The previous prime is 166805629. The next prime is 166805701. The reversal of 166805632 is 236508661.

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

It is a junction number, because it is equal to n+sod(n) for n = 166805591 and 166805600.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 715788 + ... + 716020.

It is an arithmetic number, because the mean of its divisors is an integer number (3222180).

Almost surely, 2^166805632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166805632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206219520).

166805632 is an abundant number, since it is smaller than the sum of its proper divisors (245633408).

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

166805632 is a wasteful number, since it uses less digits than its factorization.

166805632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 166805632 is about 12915.3254701537. The cubic root of 166805632 is about 550.4741167992.

The spelling of 166805632 in words is "one hundred sixty-six million, eight hundred five thousand, six hundred thirty-two".