166561600 has 84 divisors (see below), whose sum is σ = 431495200. Its totient is φ = 63106560.

The previous prime is 166561583. The next prime is 166561613. The reversal of 166561600 is 6165661.

It is a congruent number.

It is an unprimeable number.

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, 27661 + ... + 33139.

Almost surely, 2^166561600 is an apocalyptic number.

166561600 is a gapful number since it is divisible by the number (10) 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 166561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215747600).

166561600 is an abundant number, since it is smaller than the sum of its proper divisors (264933600).

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

166561600 is a wasteful number, since it uses less digits than its factorization.

166561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5520 (or 5505 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 166561600 is about 12905.8746313452. The cubic root of 166561600 is about 550.2055430107.

The spelling of 166561600 in words is "one hundred sixty-six million, five hundred sixty-one thousand, six hundred".