166488000 has 224 divisors, whose sum is σ = 628912128. Its totient is φ = 38016000.

The previous prime is 166487989. The next prime is 166488019. The reversal of 166488000 is 884661.

166488000 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 (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167505 + ... + 168495.

Almost surely, 2^166488000 is an apocalyptic number.

166488000 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 166488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314456064).

166488000 is an abundant number, since it is smaller than the sum of its proper divisors (462424128).

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

166488000 is an equidigital number, since it uses as much as digits as its factorization.

166488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 166488000 is about 12903.0229016305. The cubic root of 166488000 is about 550.1244897266.

The spelling of 166488000 in words is "one hundred sixty-six million, four hundred eighty-eight thousand".