166838544 has 180 divisors, whose sum is σ = 524577040. Its totient is φ = 49351680.

The previous prime is 166838543. The next prime is 166838557. The reversal of 166838544 is 445838661.

166838544 is a `hidden beast` number, since 16 + 68 + 38 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 166838544.

It is not an unprimeable number, because it can be changed into a prime (166838543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 790599 + ... + 790809.

Almost surely, 2^166838544 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 166838544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262288520).

166838544 is an abundant number, since it is smaller than the sum of its proper divisors (357738496).

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

166838544 is a wasteful number, since it uses less digits than its factorization.

166838544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 252 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 166838544 is about 12916.5995525138. The cubic root of 166838544 is about 550.5103186398.

The spelling of 166838544 in words is "one hundred sixty-six million, eight hundred thirty-eight thousand, five hundred forty-four".