166661600 has 72 divisors (see below), whose sum is σ = 465001488. Its totient is φ = 57139200.

The previous prime is 166661581. The next prime is 166661609. The reversal of 166661600 is 6166661.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166661609) 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, 9281 + ... + 20480.

It is an arithmetic number, because the mean of its divisors is an integer number (6458354).

Almost surely, 2^166661600 is an apocalyptic number.

166661600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166661600 is an abundant number, since it is smaller than the sum of its proper divisors (298339888).

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

166661600 is a wasteful number, since it uses less digits than its factorization.

166661600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29788 (or 29775 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 166661600 is about 12909.7482547105. The cubic root of 166661600 is about 550.3156315044.

The spelling of 166661600 in words is "one hundred sixty-six million, six hundred sixty-one thousand, six hundred".