166729563 has 128 divisors (see below), whose sum is σ = 344064000. Its totient is φ = 76982400.

The previous prime is 166729559. The next prime is 166729601. The reversal of 166729563 is 365927661.

166729563 is a `hidden beast` number, since 1 + 6 + 67 + 29 + 563 = 666.

It is not a de Polignac number, because 166729563 - 2² = 166729559 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (408240) is a multiple of the sum of its prime factors (270).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (166729543) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 837738 + ... + 837936.

It is an arithmetic number, because the mean of its divisors is an integer number (2688000).

Almost surely, 2^166729563 is an apocalyptic number.

166729563 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

166729563 is an abundant number, since it is smaller than the sum of its proper divisors (177334437).

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

166729563 is a wasteful number, since it uses less digits than its factorization.

166729563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 264 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 166729563 is about 12912.3802220969. The cubic root of 166729563 is about 550.3904258151.

The spelling of 166729563 in words is "one hundred sixty-six million, seven hundred twenty-nine thousand, five hundred sixty-three".