66166224 has 80 divisors (see below), whose sum is σ = 176655360. Its totient is φ = 21329280.

The previous prime is 66166223. The next prime is 66166229. The reversal of 66166224 is 42266166.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66166223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313479 + ... + 313689.

It is an arithmetic number, because the mean of its divisors is an integer number (2208192).

Almost surely, 2^66166224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66166224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88327680).

66166224 is an abundant number, since it is smaller than the sum of its proper divisors (110489136).

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

66166224 is a wasteful number, since it uses less digits than its factorization.

66166224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 402 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 66166224 is about 8134.2623513137. The cubic root of 66166224 is about 404.4629858621.

The spelling of 66166224 in words is "sixty-six million, one hundred sixty-six thousand, two hundred twenty-four".