166534560 has 144 divisors (see below), whose sum is σ = 574053480. Its totient is φ = 43960320.

The previous prime is 166534531. The next prime is 166534561. The reversal of 166534560 is 65435661.

166534560 is a `hidden beast` number, since 1 + 6 + 65 + 34 + 560 = 666.

166534560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 153660816 + 12873744 = 12396^2 + 3588^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (166534561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156430 + ... + 157490.

Almost surely, 2^166534560 is an apocalyptic number.

166534560 is a gapful number since it is divisible by the number (10) 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 166534560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287026740).

166534560 is an abundant number, since it is smaller than the sum of its proper divisors (407518920).

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

166534560 is a wasteful number, since it uses less digits than its factorization.

166534560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 166534560 is about 12904.8270038773. The cubic root of 166534560 is about 550.1757675142.

The spelling of 166534560 in words is "one hundred sixty-six million, five hundred thirty-four thousand, five hundred sixty".