166672890 has 80 divisors (see below), whose sum is σ = 451499400. Its totient is φ = 44115840.

The previous prime is 166672873. The next prime is 166672897. The reversal of 166672890 is 98276661.

166672890 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 96766569 + 69906321 = 9837^2 + 8361^2 .

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 (166672897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 120000 + ... + 121380.

Almost surely, 2^166672890 is an apocalyptic number.

166672890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 166672890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225749700).

166672890 is an abundant number, since it is smaller than the sum of its proper divisors (284826510).

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

166672890 is a wasteful number, since it uses less digits than its factorization.

166672890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 166672890 is about 12910.1855137717. The cubic root of 166672890 is about 550.3280577285.

The spelling of 166672890 in words is "one hundred sixty-six million, six hundred seventy-two thousand, eight hundred ninety".