166780440 has 96 divisors (see below), whose sum is σ = 553625280. Its totient is φ = 43524096.

The previous prime is 166780409. The next prime is 166780441. The reversal of 166780440 is 44087661.

166780440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 166780395 and 166780404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166780441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11992 + ... + 21848.

It is an arithmetic number, because the mean of its divisors is an integer number (5766930).

Almost surely, 2^166780440 is an apocalyptic number.

166780440 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 166780440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276812640).

166780440 is an abundant number, since it is smaller than the sum of its proper divisors (386844840).

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

166780440 is a wasteful number, since it uses less digits than its factorization.

166780440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9921 (or 9914 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 166780440 is about 12914.3501578670. The cubic root of 166780440 is about 550.4464034222.

The spelling of 166780440 in words is "one hundred sixty-six million, seven hundred eighty thousand, four hundred forty".