166437648 has 120 divisors (see below), whose sum is σ = 509495168. Its totient is φ = 50409216.

The previous prime is 166437647. The next prime is 166437673. The reversal of 166437648 is 846734661.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (166437647) 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 23 ways as a sum of consecutive naturals, for example, 124761 + ... + 126087.

Almost surely, 2^166437648 is an apocalyptic number.

166437648 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 166437648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254747584).

166437648 is an abundant number, since it is smaller than the sum of its proper divisors (343057520).

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

166437648 is a wasteful number, since it uses less digits than its factorization.

166437648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421 (or 1412 counting only the distinct ones).

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

The square root of 166437648 is about 12901.0715833996. The cubic root of 166437648 is about 550.0690249458.

The spelling of 166437648 in words is "one hundred sixty-six million, four hundred thirty-seven thousand, six hundred forty-eight".