166635648 has 96 divisors (see below), whose sum is σ = 485846400. Its totient is φ = 54812160.

The previous prime is 166635641. The next prime is 166635673. The reversal of 166635648 is 846536661.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (166635641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90093 + ... + 91923.

It is an arithmetic number, because the mean of its divisors is an integer number (5060900).

Almost surely, 2^166635648 is an apocalyptic number.

166635648 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 166635648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242923200).

166635648 is an abundant number, since it is smaller than the sum of its proper divisors (319210752).

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

166635648 is a wasteful number, since it uses less digits than its factorization.

166635648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 1915 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 166635648 is about 12908.7430836623. The cubic root of 166635648 is about 550.2870655707.

The spelling of 166635648 in words is "one hundred sixty-six million, six hundred thirty-five thousand, six hundred forty-eight".