163880500 has 72 divisors (see below), whose sum is σ = 416412360. Its totient is φ = 56179200.

The previous prime is 163880471. The next prime is 163880503. The reversal of 163880500 is 5088361.

163880500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 142884 + 163737616 = 378^2 + 12796^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163880503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21156 + ... + 27844.

It is an arithmetic number, because the mean of its divisors is an integer number (5783505).

Almost surely, 2^163880500 is an apocalyptic number.

163880500 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 163880500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208206180).

163880500 is an abundant number, since it is smaller than the sum of its proper divisors (252531860).

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

163880500 is a wasteful number, since it uses less digits than its factorization.

163880500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6722 (or 6703 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 163880500 is about 12801.5819334956. The cubic root of 163880500 is about 547.2373864784.

The spelling of 163880500 in words is "one hundred sixty-three million, eight hundred eighty thousand, five hundred".