166087584 has 288 divisors, whose sum is σ = 554770944. Its totient is φ = 48522240.

The previous prime is 166087583. The next prime is 166087633. The reversal of 166087584 is 485780661.

It is a happy number.

166087584 is a `hidden beast` number, since 1 + 6 + 60 + 8 + 7 + 584 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (166087583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3133702 + ... + 3133754.

It is an arithmetic number, because the mean of its divisors is an integer number (1926288).

Almost surely, 2^166087584 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 166087584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277385472).

166087584 is an abundant number, since it is smaller than the sum of its proper divisors (388683360).

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

166087584 is a wasteful number, since it uses less digits than its factorization.

166087584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 166087584 is about 12887.4971968959. The cubic root of 166087584 is about 549.6831056038.

The spelling of 166087584 in words is "one hundred sixty-six million, eighty-seven thousand, five hundred eighty-four".