163973160 has 320 divisors, whose sum is σ = 631184400. Its totient is φ = 37822464.

The previous prime is 163973153. The next prime is 163973171. The reversal of 163973160 is 61379361.

163973160 is a `hidden beast` number, since 1 + 639 + 7 + 3 + 16 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 104898564 + 59074596 = 10242^2 + 7686^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 715926 + ... + 716154.

Almost surely, 2^163973160 is an apocalyptic number.

163973160 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 163973160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315592200).

163973160 is an abundant number, since it is smaller than the sum of its proper divisors (467211240).

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

163973160 is a wasteful number, since it uses less digits than its factorization.

163973160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 163973160 is about 12805.2005060444. The cubic root of 163973160 is about 547.3405052396.

The spelling of 163973160 in words is "one hundred sixty-three million, nine hundred seventy-three thousand, one hundred sixty".