166665600 has 240 divisors, whose sum is σ = 615989220. Its totient is φ = 44375040.

The previous prime is 166665593. The next prime is 166665601. The reversal of 166665600 is 6566661.

166665600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 (166665601) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 258879 + ... + 259521.

Almost surely, 2^166665600 is an apocalyptic number.

166665600 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 166665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307994610).

166665600 is an abundant number, since it is smaller than the sum of its proper divisors (449323620).

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

166665600 is an equidigital number, since it uses as much as digits as its factorization.

166665600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 166665600 is about 12909.9031754696. The cubic root of 166665600 is about 550.3200341280.

The spelling of 166665600 in words is "one hundred sixty-six million, six hundred sixty-five thousand, six hundred".