166901742 has 64 divisors (see below), whose sum is σ = 432576000. Its totient is φ = 47680920.

The previous prime is 166901689. The next prime is 166901743. The reversal of 166901742 is 247109661.

It is a junction number, because it is equal to n+sod(n) for n = 166901697 and 166901706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166901743) 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 31 ways as a sum of consecutive naturals, for example, 14017 + ... + 23027.

It is an arithmetic number, because the mean of its divisors is an integer number (6759000).

Almost surely, 2^166901742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166901742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216288000).

166901742 is an abundant number, since it is smaller than the sum of its proper divisors (265674258).

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

166901742 is an equidigital number, since it uses as much as digits as its factorization.

166901742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9043 (or 9023 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 166901742 is about 12919.0457077913. The cubic root of 166901742 is about 550.5798204833.

The spelling of 166901742 in words is "one hundred sixty-six million, nine hundred one thousand, seven hundred forty-two".