166347648 has 128 divisors (see below), whose sum is σ = 496128000. Its totient is φ = 54867456.

The previous prime is 166347647. The next prime is 166347653. The reversal of 166347648 is 846743661.

It is a happy number.

166347648 is a `hidden beast` number, since 1 + 6 + 634 + 7 + 6 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166347647) 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 15 ways as a sum of consecutive naturals, for example, 438723 + ... + 439101.

It is an arithmetic number, because the mean of its divisors is an integer number (3876000).

Almost surely, 2^166347648 is an apocalyptic number.

166347648 is a gapful number since it is divisible by the number (18) 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 166347648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248064000).

166347648 is an abundant number, since it is smaller than the sum of its proper divisors (329780352).

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

166347648 is a wasteful number, since it uses less digits than its factorization.

166347648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 511 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 166347648 is about 12897.5830293897. The cubic root of 166347648 is about 549.9698584033.

The spelling of 166347648 in words is "one hundred sixty-six million, three hundred forty-seven thousand, six hundred forty-eight".