166440960 has 416 divisors, whose sum is σ = 691975680. Its totient is φ = 37158912.

The previous prime is 166440941. The next prime is 166440973. The reversal of 166440960 is 69044661.

166440960 is a `hidden beast` number, since 1 + 6 + 644 + 0 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 3870699 + ... + 3870741.

Almost surely, 2^166440960 is an apocalyptic number.

166440960 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 166440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345987840).

166440960 is an abundant number, since it is smaller than the sum of its proper divisors (525534720).

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

166440960 is an equidigital number, since it uses as much as digits as its factorization.

166440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 166440960 is about 12901.1999441912. The cubic root of 166440960 is about 550.0726735925.

It can be divided in two parts, 1664 and 40960, that added together give a palindrome (42624).

The spelling of 166440960 in words is "one hundred sixty-six million, four hundred forty thousand, nine hundred sixty".