166385736 has 96 divisors (see below), whose sum is σ = 517514400. Its totient is φ = 47761920.

The previous prime is 166385671. The next prime is 166385741. The reversal of 166385736 is 637583661.

166385736 is a `hidden beast` number, since 1 + 6 + 638 + 5 + 7 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 166385691 and 166385700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9520 + ... + 20576.

It is an arithmetic number, because the mean of its divisors is an integer number (5390775).

Almost surely, 2^166385736 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 166385736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258757200).

166385736 is an abundant number, since it is smaller than the sum of its proper divisors (351128664).

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

166385736 is a wasteful number, since it uses less digits than its factorization.

166385736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11099 (or 11092 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 166385736 is about 12899.0595005993. The cubic root of 166385736 is about 550.0118300486.

The spelling of 166385736 in words is "one hundred sixty-six million, three hundred eighty-five thousand, seven hundred thirty-six".