166163760 has 120 divisors (see below), whose sum is σ = 637771680. Its totient is φ = 37979136.

The previous prime is 166163749. The next prime is 166163761. The reversal of 166163760 is 67361661.

166163760 is a `hidden beast` number, since 1 + 6 + 616 + 37 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×166163760² = 55220790274675200, which contains 22 as substring.

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 (166163761) 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, 11445 + ... + 21524.

It is an arithmetic number, because the mean of its divisors is an integer number (5314764).

Almost surely, 2^166163760 is an apocalyptic number.

166163760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166163760 is an abundant number, since it is smaller than the sum of its proper divisors (471607920).

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

166163760 is a wasteful number, since it uses less digits than its factorization.

166163760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32995 (or 32986 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 166163760 is about 12890.4522806611. The cubic root of 166163760 is about 549.7671300670.

The spelling of 166163760 in words is "one hundred sixty-six million, one hundred sixty-three thousand, seven hundred sixty".