166329936 has 50 divisors (see below), whose sum is σ = 481410842. Its totient is φ = 55442880.

The previous prime is 166329923. The next prime is 166329941. The reversal of 166329936 is 639923661.

It is a happy number.

166329936 is a `hidden beast` number, since 1 + 6 + 632 + 9 + 9 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 162409536 + 3920400 = 12744^2 + 1980^2 .

It is a super-3 number, since 3×166329936³ (a number of 26 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 166329891 and 166329900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 62875 + ... + 65466.

Almost surely, 2^166329936 is an apocalyptic number.

166329936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

166329936 is an abundant number, since it is smaller than the sum of its proper divisors (315080906).

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

166329936 is a wasteful number, since it uses less digits than its factorization.

166329936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128361 (or 128346 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The square root of 166329936 is about 12896.8963708328. The cubic root of 166329936 is about 549.9503382157.

The spelling of 166329936 in words is "one hundred sixty-six million, three hundred twenty-nine thousand, nine hundred thirty-six".