166576564 has 48 divisors (see below), whose sum is σ = 364654080. Its totient is φ = 64683360.

The previous prime is 166576537. The next prime is 166576567. The reversal of 166576564 is 465675661.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166576567) 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, 116019 + ... + 117445.

It is an arithmetic number, because the mean of its divisors is an integer number (7596960).

Almost surely, 2^166576564 is an apocalyptic number.

166576564 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 166576564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182327040).

166576564 is an abundant number, since it is smaller than the sum of its proper divisors (198077516).

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

166576564 is a wasteful number, since it uses less digits than its factorization.

166576564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1826 counting only the distinct ones).

The product of its digits is 907200, while the sum is 46.

The square root of 166576564 is about 12906.4543543144. The cubic root of 166576564 is about 550.2220194559. Note that the first 3 decimals are identical.

The spelling of 166576564 in words is "one hundred sixty-six million, five hundred seventy-six thousand, five hundred sixty-four".