166908672 has 216 divisors, whose sum is σ = 561200640. Its totient is φ = 46725120.

The previous prime is 166908653. The next prime is 166908689. The reversal of 166908672 is 276809661.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1274047 + ... + 1274177.

Almost surely, 2^166908672 is an apocalyptic number.

166908672 is a gapful number since it is divisible by the number (12) 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 166908672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280600320).

166908672 is an abundant number, since it is smaller than the sum of its proper divisors (394291968).

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

166908672 is a wasteful number, since it uses less digits than its factorization.

166908672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 166908672 is about 12919.3139136720. The cubic root of 166908672 is about 550.5874406661.

The spelling of 166908672 in words is "one hundred sixty-six million, nine hundred eight thousand, six hundred seventy-two".