166128768 has 96 divisors (see below), whose sum is σ = 514872540. Its totient is φ = 51111936.

The previous prime is 166128763. The next prime is 166128797. The reversal of 166128768 is 867821661.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 166100544 + 28224 = 12888^2 + 168^2 .

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 (166128763) 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 11 ways as a sum of consecutive naturals, for example, 9430 + ... + 20522.

Almost surely, 2^166128768 is an apocalyptic number.

166128768 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 166128768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257436270).

166128768 is an abundant number, since it is smaller than the sum of its proper divisors (348743772).

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

166128768 is a wasteful number, since it uses less digits than its factorization.

166128768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11126 (or 11111 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 166128768 is about 12889.0949255563. The cubic root of 166128768 is about 549.7285360078.

The spelling of 166128768 in words is "one hundred sixty-six million, one hundred twenty-eight thousand, seven hundred sixty-eight".