166783680 has 168 divisors, whose sum is σ = 655697952. Its totient is φ = 38117376.

The previous prime is 166783621. The next prime is 166783681. The reversal of 166783680 is 86387661.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is not an unprimeable number, because it can be changed into a prime (166783681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16024 + ... + 24296.

It is an arithmetic number, because the mean of its divisors is an integer number (3902964).

Almost surely, 2^166783680 is an apocalyptic number.

166783680 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 166783680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327848976).

166783680 is an abundant number, since it is smaller than the sum of its proper divisors (488914272).

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

166783680 is a wasteful number, since it uses less digits than its factorization.

166783680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8303 (or 8290 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 166783680 is about 12914.4755991097. The cubic root of 166783680 is about 550.4499678585.

The spelling of 166783680 in words is "one hundred sixty-six million, seven hundred eighty-three thousand, six hundred eighty".