166833216 has 224 divisors, whose sum is σ = 547176960. Its totient is φ = 49420800.

The previous prime is 166833211. The next prime is 166833217. The reversal of 166833216 is 612338661.

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 (166833211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1273471 + ... + 1273601.

Almost surely, 2^166833216 is an apocalyptic number.

166833216 is a gapful number since it is divisible by the number (16) 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 166833216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273588480).

166833216 is an abundant number, since it is smaller than the sum of its proper divisors (380343744).

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

166833216 is a wasteful number, since it uses less digits than its factorization.

166833216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 214 counting only the distinct ones).

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

The square root of 166833216 is about 12916.3933046342. The cubic root of 166833216 is about 550.5044583829.

The spelling of 166833216 in words is "one hundred sixty-six million, eight hundred thirty-three thousand, two hundred sixteen".