166100688 has 60 divisors (see below), whose sum is σ = 500614660. Its totient is φ = 51107328.

The previous prime is 166100681. The next prime is 166100699. The reversal of 166100688 is 886001661.

166100688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 24681024 + 141419664 = 4968^2 + 11892^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166100681) 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, 42493 + ... + 46236.

Almost surely, 2^166100688 is an apocalyptic number.

166100688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

166100688 is an abundant number, since it is smaller than the sum of its proper divisors (334513972).

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

166100688 is a wasteful number, since it uses less digits than its factorization.

166100688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88756 (or 88747 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 166100688 is about 12888.0055865910. The cubic root of 166100688 is about 549.6975615469.

The spelling of 166100688 in words is "one hundred sixty-six million, one hundred thousand, six hundred eighty-eight".