163686960 has 80 divisors (see below), whose sum is σ = 563818080. Its totient is φ = 43649280.

The previous prime is 163686953. The next prime is 163686977. The reversal of 163686960 is 69686361.

163686960 is a `hidden beast` number, since 1 + 636 + 8 + 6 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35731 + ... + 40050.

It is an arithmetic number, because the mean of its divisors is an integer number (7047726).

Almost surely, 2^163686960 is an apocalyptic number.

163686960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

163686960 is an abundant number, since it is smaller than the sum of its proper divisors (400131120).

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

163686960 is a wasteful number, since it uses less digits than its factorization.

163686960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75803 (or 75791 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 163686960 is about 12794.0204783328. The cubic root of 163686960 is about 547.0218756952.

The spelling of 163686960 in words is "one hundred sixty-three million, six hundred eighty-six thousand, nine hundred sixty".