166635252 has 96 divisors (see below), whose sum is σ = 496419840. Its totient is φ = 47351520.

The previous prime is 166635251. The next prime is 166635269. The reversal of 166635252 is 252536661.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166635251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171127 + ... + 172097.

It is an arithmetic number, because the mean of its divisors is an integer number (5171040).

Almost surely, 2^166635252 is an apocalyptic number.

166635252 is a gapful number since it is divisible by the number (12) 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 166635252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248209920).

166635252 is an abundant number, since it is smaller than the sum of its proper divisors (329784588).

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

166635252 is a wasteful number, since it uses less digits than its factorization.

166635252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1210 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 166635252 is about 12908.7277452118. The cubic root of 166635252 is about 550.2866296618.

The spelling of 166635252 in words is "one hundred sixty-six million, six hundred thirty-five thousand, two hundred fifty-two".