166242600 has 72 divisors (see below), whose sum is σ = 558304110. Its totient is φ = 44330880.

The previous prime is 166242569. The next prime is 166242607. The reversal of 166242600 is 6242661.

It is a happy number.

166242600 is a `hidden beast` number, since 16 + 6 + 2 + 42 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 133957476 + 32285124 = 11574^2 + 5682^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (166242607) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 44379 + ... + 47978.

Almost surely, 2^166242600 is an apocalyptic number.

166242600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166242600 is an abundant number, since it is smaller than the sum of its proper divisors (392061510).

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

166242600 is a wasteful number, since it uses less digits than its factorization.

166242600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92379 (or 92367 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 166242600 is about 12893.5099953426. The cubic root of 166242600 is about 549.8540659653.

The spelling of 166242600 in words is "one hundred sixty-six million, two hundred forty-two thousand, six hundred".