166638312 has 96 divisors (see below), whose sum is σ = 481178880. Its totient is φ = 51976320.

The previous prime is 166638293. The next prime is 166638317. The reversal of 166638312 is 213836661.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (166638317) 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, 76762 + ... + 78902.

It is an arithmetic number, because the mean of its divisors is an integer number (5012280).

Almost surely, 2^166638312 is an apocalyptic number.

166638312 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 166638312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240589440).

166638312 is an abundant number, since it is smaller than the sum of its proper divisors (314540568).

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

166638312 is a wasteful number, since it uses less digits than its factorization.

166638312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2223 (or 2216 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 166638312 is about 12908.8462691288. The cubic root of 166638312 is about 550.2899980303.

The spelling of 166638312 in words is "one hundred sixty-six million, six hundred thirty-eight thousand, three hundred twelve".