163886120 has 48 divisors (see below), whose sum is σ = 391738140. Its totient is φ = 61693952.

The previous prime is 163886111. The next prime is 163886131. The reversal of 163886120 is 21688361.

It can be written as a sum of positive squares in 6 ways, for example, as 157301764 + 6584356 = 12542^2 + 2566^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 4472 + ... + 18648.

Almost surely, 2^163886120 is an apocalyptic number.

163886120 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 163886120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195869070).

163886120 is an abundant number, since it is smaller than the sum of its proper divisors (227852020).

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

163886120 is a wasteful number, since it uses less digits than its factorization.

163886120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14222 (or 14201 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 163886120 is about 12801.8014357355. The cubic root of 163886120 is about 547.2436419287.

The spelling of 163886120 in words is "one hundred sixty-three million, eight hundred eighty-six thousand, one hundred twenty".