166676832 has 288 divisors, whose sum is σ = 588349440. Its totient is φ = 45722880.

The previous prime is 166676819. The next prime is 166676869. The reversal of 166676832 is 238676661.

166676832 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1312353 + ... + 1312479.

It is an arithmetic number, because the mean of its divisors is an integer number (2042880).

Almost surely, 2^166676832 is an apocalyptic number.

166676832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166676832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294174720).

166676832 is an abundant number, since it is smaller than the sum of its proper divisors (421672608).

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

166676832 is a wasteful number, since it uses less digits than its factorization.

166676832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 170 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 166676832 is about 12910.3381830222. The cubic root of 166676832 is about 550.3323963187.

The spelling of 166676832 in words is "one hundred sixty-six million, six hundred seventy-six thousand, eight hundred thirty-two".