166038684 has 96 divisors (see below), whose sum is σ = 466185216. Its totient is φ = 44997120.

The previous prime is 166038673. The next prime is 166038689. The reversal of 166038684 is 486830661.

It is a happy number.

166038684 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166038689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126777 + ... + 128079.

It is an arithmetic number, because the mean of its divisors is an integer number (4856096).

Almost surely, 2^166038684 is an apocalyptic number.

166038684 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

166038684 is the 6888-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166038684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233092608).

166038684 is an abundant number, since it is smaller than the sum of its proper divisors (300146532).

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

166038684 is a wasteful number, since it uses less digits than its factorization.

166038684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 166038684 is about 12885.5998696219. The cubic root of 166038684 is about 549.6291538641.

The spelling of 166038684 in words is "one hundred sixty-six million, thirty-eight thousand, six hundred eighty-four".