166279680 has 240 divisors, whose sum is σ = 658779264. Its totient is φ = 37969920.

The previous prime is 166279639. The next prime is 166279699. The reversal of 166279680 is 86972661.

166279680 is a `hidden beast` number, since 16 + 627 + 9 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160765 + ... + 161795.

Almost surely, 2^166279680 is an apocalyptic number.

166279680 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 166279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329389632).

166279680 is an abundant number, since it is smaller than the sum of its proper divisors (492499584).

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

166279680 is a wasteful number, since it uses less digits than its factorization.

166279680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1048 counting only the distinct ones).

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

The square root of 166279680 is about 12894.9478478976. The cubic root of 166279680 is about 549.8949441218.

The spelling of 166279680 in words is "one hundred sixty-six million, two hundred seventy-nine thousand, six hundred eighty".