166780040 has 64 divisors (see below), whose sum is σ = 430444800. Its totient is φ = 56971008.

The previous prime is 166780007. The next prime is 166780063. The reversal of 166780040 is 40087661.

It is a junction number, because it is equal to n+sod(n) for n = 166779979 and 166780006.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 87821 + ... + 89699.

It is an arithmetic number, because the mean of its divisors is an integer number (6725700).

Almost surely, 2^166780040 is an apocalyptic number.

166780040 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 166780040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215222400).

166780040 is an abundant number, since it is smaller than the sum of its proper divisors (263664760).

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

166780040 is a wasteful number, since it uses less digits than its factorization.

166780040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 166780040 is about 12914.3346712094. The cubic root of 166780040 is about 550.4459633651.

The spelling of 166780040 in words is "one hundred sixty-six million, seven hundred eighty thousand, forty".