163840320 has 504 divisors, whose sum is σ = 695638944. Its totient is φ = 36578304.

The previous prime is 163840309. The next prime is 163840337. The reversal of 163840320 is 23048361.

It is a happy number.

163840320 is a `hidden beast` number, since 1 + 638 + 4 + 0 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3810219 + ... + 3810261.

It is an arithmetic number, because the mean of its divisors is an integer number (1380236).

Almost surely, 2^163840320 is an apocalyptic number.

163840320 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 163840320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347819472).

163840320 is an abundant number, since it is smaller than the sum of its proper divisors (531798624).

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

163840320 is an equidigital number, since it uses as much as digits as its factorization.

163840320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 163840320 is about 12800.0124999939. The cubic root of 163840320 is about 547.1926591813.

Adding to 163840320 its reverse (23048361), we get a palindrome (186888681).

The spelling of 163840320 in words is "one hundred sixty-three million, eight hundred forty thousand, three hundred twenty".