166668000 has 384 divisors, whose sum is σ = 622702080. Its totient is φ = 38707200.

The previous prime is 166667999. The next prime is 166668001. The reversal of 166668000 is 866661.

It is an interprime number because it is at equal distance from previous prime (166667999) and next prime (166668001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166668001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3875979 + ... + 3876021.

It is an arithmetic number, because the mean of its divisors is an integer number (1621620).

Almost surely, 2^166668000 is an apocalyptic number.

166668000 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 166668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311351040).

166668000 is an abundant number, since it is smaller than the sum of its proper divisors (456034080).

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

166668000 is a wasteful number, since it uses less digits than its factorization.

166668000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 166668000 is about 12909.9961270327. The cubic root of 166668000 is about 550.3226756684.

The spelling of 166668000 in words is "one hundred sixty-six million, six hundred sixty-eight thousand".