166213824 has 224 divisors, whose sum is σ = 554004480. Its totient is φ = 42882048.

The previous prime is 166213823. The next prime is 166213829. The reversal of 166213824 is 428312661.

It is a tau number, because it is divible by the number of its divisors (224).

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 (166213823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 587187 + ... + 587469.

Almost surely, 2^166213824 is an apocalyptic number.

166213824 is a gapful number since it is divisible by the number (14) 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 166213824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277002240).

166213824 is an abundant number, since it is smaller than the sum of its proper divisors (387790656).

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

166213824 is a wasteful number, since it uses less digits than its factorization.

166213824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 337 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 166213824 is about 12892.3940367955. The cubic root of 166213824 is about 549.8223382099.

The spelling of 166213824 in words is "one hundred sixty-six million, two hundred thirteen thousand, eight hundred twenty-four".