166402080 has 192 divisors, whose sum is σ = 627419520. Its totient is φ = 40946688.

The previous prime is 166402073. The next prime is 166402081. The reversal of 166402080 is 80204661.

166402080 is a `hidden beast` number, since 16 + 640 + 2 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (166402081) by changing a digit.

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, 54679 + ... + 57641.

It is an arithmetic number, because the mean of its divisors is an integer number (3267810).

Almost surely, 2^166402080 is an apocalyptic number.

166402080 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 166402080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313709760).

166402080 is an abundant number, since it is smaller than the sum of its proper divisors (461017440).

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

166402080 is a wasteful number, since it uses less digits than its factorization.

166402080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 166402080 is about 12899.6930196032. The cubic root of 166402080 is about 550.0298386016.

It can be divided in two parts, 1664020 and 80, that added together give a square (1664100 = 1290²).

The spelling of 166402080 in words is "one hundred sixty-six million, four hundred two thousand, eighty".