163814040 has 384 divisors, whose sum is σ = 636854400. Its totient is φ = 36126720.

The previous prime is 163814009. The next prime is 163814081. The reversal of 163814040 is 40418361.

163814040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×163814040² = 53670079402243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 163813995 and 163814013.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2307205 + ... + 2307275.

It is an arithmetic number, because the mean of its divisors is an integer number (1658475).

Almost surely, 2^163814040 is an apocalyptic number.

163814040 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 163814040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318427200).

163814040 is an abundant number, since it is smaller than the sum of its proper divisors (473040360).

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

163814040 is a wasteful number, since it uses less digits than its factorization.

163814040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 163814040 is about 12798.9858973280. The cubic root of 163814040 is about 547.1634010353.

The spelling of 163814040 in words is "one hundred sixty-three million, eight hundred fourteen thousand, forty".