166564560 has 40 divisors (see below), whose sum is σ = 516350880. Its totient is φ = 44417152.

The previous prime is 166564553. The next prime is 166564561. The reversal of 166564560 is 65465661.

166564560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166564561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 346770 + ... + 347249.

It is an arithmetic number, because the mean of its divisors is an integer number (12908772).

Almost surely, 2^166564560 is an apocalyptic number.

166564560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166564560 is an abundant number, since it is smaller than the sum of its proper divisors (349786320).

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

166564560 is a wasteful number, since it uses less digits than its factorization.

166564560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694035 (or 694029 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 166564560 is about 12905.9893072945. The cubic root of 166564560 is about 550.2088022629.

The spelling of 166564560 in words is "one hundred sixty-six million, five hundred sixty-four thousand, five hundred sixty".