166224564 has 72 divisors (see below), whose sum is σ = 462702240. Its totient is φ = 49896000.

The previous prime is 166224563. The next prime is 166224581. The reversal of 166224564 is 465422661.

166224564 is a `hidden beast` number, since 16 + 62 + 24 + 564 = 666.

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 (166224563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41239 + ... + 45089.

It is an arithmetic number, because the mean of its divisors is an integer number (6426420).

Almost surely, 2^166224564 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 166224564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231351120).

166224564 is an abundant number, since it is smaller than the sum of its proper divisors (296477676).

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

166224564 is a wasteful number, since it uses less digits than its factorization.

166224564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3981 (or 3976 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 166224564 is about 12892.8105547239. The cubic root of 166224564 is about 549.8341803150.

The spelling of 166224564 in words is "one hundred sixty-six million, two hundred twenty-four thousand, five hundred sixty-four".