166807680 has 256 divisors, whose sum is σ = 590163840. Its totient is φ = 39813120.

The previous prime is 166807651. The next prime is 166807687. The reversal of 166807680 is 86708661.

166807680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (166807687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1023279 + ... + 1023441.

Almost surely, 2^166807680 is an apocalyptic number.

166807680 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 166807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295081920).

166807680 is an abundant number, since it is smaller than the sum of its proper divisors (423356160).

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

166807680 is a wasteful number, since it uses less digits than its factorization.

166807680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 166807680 is about 12915.4047555623. The cubic root of 166807680 is about 550.4763696536.

The spelling of 166807680 in words is "one hundred sixty-six million, eight hundred seven thousand, six hundred eighty".