163355040 has 144 divisors (see below), whose sum is σ = 590328648. Its totient is φ = 40992768.

The previous prime is 163354991. The next prime is 163355099. The reversal of 163355040 is 40553361.

163355040 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 109244304 + 54110736 = 10452^2 + 7356^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 163354995 and 163355013.

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 23 ways as a sum of consecutive naturals, for example, 21144 + ... + 27816.

Almost surely, 2^163355040 is an apocalyptic number.

163355040 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 163355040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295164324).

163355040 is an abundant number, since it is smaller than the sum of its proper divisors (426973608).

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

163355040 is a wasteful number, since it uses less digits than its factorization.

163355040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6711 (or 6700 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 163355040 is about 12781.0422110249. The cubic root of 163355040 is about 546.6518800945.

The spelling of 163355040 in words is "one hundred sixty-three million, three hundred fifty-five thousand, forty".