163827360 has 120 divisors (see below), whose sum is σ = 578219796. Its totient is φ = 43683840.

The previous prime is 163827341. The next prime is 163827361. The reversal of 163827360 is 63728361.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 131882256 + 31945104 = 11484^2 + 5652^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163827361) 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 19 ways as a sum of consecutive naturals, for example, 6640 + ... + 19280.

Almost surely, 2^163827360 is an apocalyptic number.

163827360 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 163827360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289109898).

163827360 is an abundant number, since it is smaller than the sum of its proper divisors (414392436).

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

163827360 is a wasteful number, since it uses less digits than its factorization.

163827360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12668 (or 12651 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 163827360 is about 12799.5062404766. The cubic root of 163827360 is about 547.1782308976.

The spelling of 163827360 in words is "one hundred sixty-three million, eight hundred twenty-seven thousand, three hundred sixty".