163985760 has 144 divisors (see below), whose sum is σ = 563026464. Its totient is φ = 43462656.

The previous prime is 163985747. The next prime is 163985761. The reversal of 163985760 is 67589361.

It is a happy number.

163985760 is a `hidden beast` number, since 1 + 639 + 8 + 5 + 7 + 6 + 0 = 666.

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163985761) 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, 378504 + ... + 378936.

It is an arithmetic number, because the mean of its divisors is an integer number (3909906).

Almost surely, 2^163985760 is an apocalyptic number.

163985760 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 163985760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281513232).

163985760 is an abundant number, since it is smaller than the sum of its proper divisors (399040704).

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

163985760 is a wasteful number, since it uses less digits than its factorization.

163985760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 163985760 is about 12805.6924842040. The cubic root of 163985760 is about 547.3545244318.

The spelling of 163985760 in words is "one hundred sixty-three million, nine hundred eighty-five thousand, seven hundred sixty".