166964160 has 224 divisors, whose sum is σ = 587849472. Its totient is φ = 39813120.

The previous prime is 166964143. The next prime is 166964179. The reversal of 166964160 is 61469661.

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, 1024239 + ... + 1024401.

It is an arithmetic number, because the mean of its divisors is an integer number (2624328).

Almost surely, 2^166964160 is an apocalyptic number.

166964160 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 166964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293924736).

166964160 is an abundant number, since it is smaller than the sum of its proper divisors (420885312).

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

166964160 is a wasteful number, since it uses less digits than its factorization.

166964160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 166964160 is about 12921.4612176797. The cubic root of 166964160 is about 550.6484473046.

The spelling of 166964160 in words is "one hundred sixty-six million, nine hundred sixty-four thousand, one hundred sixty".