166386960 has 180 divisors, whose sum is σ = 582075468. Its totient is φ = 44229888.

The previous prime is 166386947. The next prime is 166386989. The reversal of 166386960 is 69683661.

166386960 is a `hidden beast` number, since 1 + 6 + 638 + 6 + 9 + 6 + 0 = 666.

166386960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 30338064 + 136048896 = 5508^2 + 11664^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 524722 + ... + 525038.

Almost surely, 2^166386960 is an apocalyptic number.

166386960 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 166386960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291037734).

166386960 is an abundant number, since it is smaller than the sum of its proper divisors (415688508).

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

166386960 is an frugal number, since it uses more digits than its factorization.

166386960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 166386960 is about 12899.1069458316. The cubic root of 166386960 is about 550.0131787476.

The spelling of 166386960 in words is "one hundred sixty-six million, three hundred eighty-six thousand, nine hundred sixty".